Find all the zeros of f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12

Answers

Answer 1

Answer:

x=-2  x=2  x = 1/2   x=3

Step-by-step explanation:

f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12

Graph

We see that there is a zero at -2

Using synthetic division

-2      2   -5  -5   20  -12

             -4   18   -26  12

     ------------------------------  

         2   -9  13  -6     0

This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)

We see that there is a zero at 2

Using synthetic division  ( 2x^3 -9x^2 +13x -6)

2       2   -9  13  -6

              4   -10  6

     ------------------------------  

         2   -5  3  0

This gives us ( x+2)   ( x-2) ( 2x^2 -5x+3)

We can factor  ( 2x^2 -5x+3)

( x+2)   ( x-2)  ( 2x -1) ( x-3)

Using the zero product property

( x+2)=0   ( x-2)=0  ( 2x -1)=0 ( x-3)=0

x=-2  x=2  x = 1/2   x=3

Find All The Zeros Of F(x) = 2x^4 5x^3 5x^2 + 20x 12

Related Questions

what is the slope of a line parallel to the line whose equation is 3x - 2y = 18

Answers

Answer:

3/2

Step-by-step explanation:

3x - 2y = 18

y=(3/2)x-9

Slope of the given line=3/2

As parallel lines have same slope, slope of the line parallel to the line 3x - 2y = 18 is 3/2.

Hope it helps :)

Slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Two lines are said to be parallel when their slopes are same.

To find the slope of parallel line, we need to find slope of 3x - 2y = 18

3x-2y=18

-2y=18-3x

y=-18/2+3/2x

y=3/2x-18/2

Slope of line is 3/2

Hence, slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

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A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.

Answers

Answer:

[tex]\boxed{1500cm^{2} }[/tex]

Step-by-step explanation:

Area = Length × Width

→ Identify the length and width

Length = 5 and Width = 3

→ Substitute in the values

Area = 5 dm × 3 dm

→ Convert into cm

Area = 50 cm × 30 cm

→ Simplify

1500 cm²


How many students like both Tennis and Soccer but not Surfing

Answers

Answer:

None.

Step-by-step explanation:

Answer: where’s the picture?

Step-by-step explanation:

I need help and I don’t know what to do! What is 6x+y=17?

Answers

Answer:

6×+y-17=0 it is the correct answer and hope this help for you

Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.​

Answers

Step-by-step explanation:

Commutative property of addition is a+b=b+a

7+2=9 , 2+7=9

9=9

So, commutative property is true for addition

2-7=-5 , 7-2=5

-5 is not equal to 5

Commutative property does not apply to subtraction

It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

Find Each Difference.
1) 2-(-2)=
2) (-1)-10=
3) 8-7=
4) (-8)-(-6)

Answers

Answer:

1) 4

2) -11

3) 1

4) -2

Step-by-step explanation:

Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).

Answers

Answer:

[tex]\huge\boxed{y=-x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1;\ y_1)[/tex] - point on a line

========================================

We have

[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]

substitute

[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]

i cant find the answer to 2 1/4 times 1/6?.. can someone help a kid out

Answers

Answer:

0.375 or 3/8

Step-by-step explanation:

calculator :)

Use polynomial identities to prove that 63^2=(60+32)^2

Answers

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3

What is the distance from b (-35,25) to c (-20, 15)

Answers

Answer:

[tex]d = 5\sqrt{13}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-20-(-35))^2+(15-25)^2}[/tex]

[tex]d = \sqrt{(-20+35)^2+(-10)^2}[/tex]

[tex]d = \sqrt{(15)^2+100}[/tex]

[tex]d = \sqrt{225+100}[/tex]

[tex]d = \sqrt{325}[/tex]

[tex]d = 5\sqrt{13}[/tex]

PLZ HURRY IT'S URGENT!!!
Write the equation of a line with a slope of -2 and a y-intercept of 3.
options:

y=3x−2

y=−3x+2

y=2x−3

y=−2x+3

Answers

Answer:

y=-2x+3

Step-by-step explanation:

can someone please answer both

Answers

Answer:

2.16•x is up ur function

21. 6 feet in 10 minutes

Step-by-step explanation:

when u multiply by ten u move the decimal to the right one place

Answer:

this is what u need .........

The inverse of a linear function is a blank function

Answers

Answer:

The inverse of a linear function is not a function. Hope this helped

Step-by-step explanation:

Calculate the difference.

-1 - 7

What​

Answers

Answer:

-1-7 = -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

What is the solution set of the quadratic inequality x^2-5<0

Answers

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

                 

Answer:

D

Step-by-step explanation:

pleas help ill give extra points and brainlyest

Answers

Answer:

its B

Step-by-step explanation:

The answer is:
B. $27,500

What is 15% of 60? How did you find your answer?​

Answers

Answer:

15% of 60 is 9

Step-by-step explanation:

15%= 3/20

3/20*60= 180/20

180/20= 9

15% of 60 is 9

Hope this helps!

Answer:

9

Step-by-step explanation:

60×15%=9 therefore, 9 is your answer

What’s 1 times 5 times 2?

Answers

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:1×5=5×2=10

Divide: 814 by 3.7

To make 3.7 a whole number, multiply by
.
If 3.7 becomes 37, then 814 becomes
.
The quotient is
.

Answers

Answer:

here!!! I hope this helps you all :))

The quotient of the divided numbers is:

220

What are whole numbers?

Whole numbers is a set of numbers which consists of positive integers and zero. Fractions are not represented as whole numbers.

For ex: [0,1,2,3,4,5,6,7,8,9....] is a set of numbers without any negative number and fraction.

Given:

Divide 814 ÷ 3.7

Hence, we need to multiply a number to 3.7 in order to make it a whole number.

Step 1:

So multiply and divide by number 10

814 × 10 ÷3.7 × 10 = 37

Now we got the number 37 and 814 becomes 8140

Step 2:

We divide both the changed numbers:

8140 ÷ 37

Hence we get the quotient as 220

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Round 2.1132 to the nearest hundredth.
Answer:

Answers

Answer:

2.11

Step-by-step explanation:

hope this helps :)

Answer:

It would be 2.1100

Step-by-step explanation:

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

Its the second one

Step-by-step explanation:

I used slope to solve it

A line has a slope of -3/4 and passes through the point (-5, 4) which is the equation of the line?
A: y=-3/4x + 1/4
B: y= -3/4x + 4
C: Y= -3/4x - 2
D: y= -3/4x -1/4

Answers

Answer:

Correct choice: A

[tex]y=-3/4x+1/4[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

[tex]y-k=m(x-h)[/tex]

Where m is the slope and (h,k) is a point through which the line passes.

We are given the slope of a line m=-3/4 and the point (-5,4). Substituting:

[tex]y-4=-3/4(x+5)[/tex]

Operating:

[tex]y-4=-3/4x-15/4[/tex]

[tex]y=-3/4x-15/4+4[/tex]

[tex]\boxed{y=-3/4x+1/4}[/tex]

Correct choice: A

Answer:

It’s a no cap

Step-by-step explanation:

I took the test on edge

Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?

Answers

Answer:

A) experimental

B)  The important factors are : Type of instruction, scores and  High schools,

   The factor levels are :

   Level -1 which comprises of  3 highschool,

   Level -2 which comprises of  highschool and the highschool has  4   sections   and each section has 24 students

   Factor level combinations:

  Level 1 : computer and standard based combination

C) Within the subject : 24 students

   Between subject : High school

D) score of the test

E) student

Step-by-step explanation:

A) The study is experimental because of the random assignment of two different types of instruction to the students which will control/affect the technique of teaching without just observing the performance of the students from the side

B) The important factors are : Type of instruction, scores and  High schools,

   The factor levels are :

   Level -1 which comprises of  3 highschool,

   Level -2 which comprises of  highschool and the highschool has  4   sections   and each section has 24 students

   Factor level combinations:

  Level 1 : computer and standard based combination

C) Within the subject : 24 students

   Between subject : High school

D) The dependent measure  is the score of the test

E) The basic experiment unit of the study is : student

 

What is the perimeter, in units, of polygon EFGHJK?

Answers

Answer:

38 units.

Step-by-step explanation:

Perimeter of the polygon EFGHJK = 38 unit

What is perimeter?

Perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.

Given,

In graph of polygon EFGHJK

EF = 2 unit

FG = 10 unit

GH = 9 unit

HJ = 8 unit

JK = 7 unit

KE = 2 unit

Perimeter of EFGHJK = EF + FG + GH + HJ + JK + KE

                                    = 2 + 10 + 9 + 8 + 7 + 2

                                    = 38 unit

Hence, 38 unit is the measure of perimeter of polygon EFGHJK.

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Determine the equation of a circle with center (5,-3) and radius of 9

Answers

Step-by-step explanation:

solve by using the formula

The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²

(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0

Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

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sub to astronaut gaming i have 27 subs if you need help finding i will help

Answers

Answer:

i subbed :P

Step-by-step explanation:

hope this helps </3

The difference of two integers is 1. The product of the integers is 30. What
are the integers?

Answers

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Let us take ,

First integer be x .Second integer be y .

Also let us consider x > y .

According to first Condition :-

⇒ x - y = 1.

⇒ x = y + 1. .............(i)

According to second Condition :-

⇒ x × y = 30 .

⇒ ( y + 1 )y = 30 . [ From (i) ]

⇒ y² + y = 30.

⇒ y² + y - 30 = 0 .

⇒ y² + 6y - 5y -30 = 0.

⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .

⇒ ( y + 6 ) ( y - 5 ) = 0 .

[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]

Here y can sustain both values 5 and minus 6 as y is an integer.

So , x = -6 , 5 .

Hence possible answers are ,

[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]

[tex]\qquad\qquad\qquad \bf Or [/tex]

[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]

.

PLZ HELP ill make brainleist to the correct awnser −2 1/2÷6


−2 1/6

−5 1/2

5 1/2

2 1/6

Answers

Answer: -7/4

Step-by-step explanation: u juss simplify -21/2/6 and get -7/4

Answer:A

Step-by-step explanation: The answer above me is wrong, it’s not even an answer choice, but I got my answer by using a calculator

Suppose the equation of line t is y = x. Which shows the graph of A'B'C' for Rt?

Answers

Answer:

A'(1, -1), B'(-1, 1), C'(-1, -1)

Step-by-step explanation:

Coordinates of the vertices of the given triangle ABC are,

A(-1, 1), B(1, -1), C(-3, -1)

We have to find the new coordinates of these vertices after reflection across y = x,

Rule for the reflection of a point across a line, (y = x) is,

(x, y) → (y, x)

Following the given rule of transformation,

A(-1, 1) → A'(1, -1)

B(1, -1) → B'(-1, 1)

C(-3, -1) → C'(-1, -3)

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Give an inherited trait and learned trait would lead to this similarity What was NOT one of the reasons formigration west?farmland in New England was runningoutthe concept of manifest destinymany new factories in the Westthe new restrictive wage worker model Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $50 per day plus $0.80 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 200 miles.