What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division

Answers

Answer 1

Answer:

x=2, -4, -1

Step-by-step explanation:

-x³-3x²+6x+8=0

Multiply entire equation by -1:

x³+3x²-6x-8=0

Since x=2 is a solution, then x-2 must be a factor. Then:

x³+3x²-6x-8/x-2=x²+5x+4

x²+5x+4=0

Factor this:

x²+5x+4=(x+4)(x+1)=0

x=-4, -1

x=2, -4, -1


Related Questions

Written as a simplified polynomial in standard form, what is
the result when (2x – 5)2 is subtracted from x-10?

Answers

Answer:

[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]

Step-by-step explanation:

As we have to subtract [tex]\left(2x\:-\:5\right)^2[/tex] from [tex]\left(x-10\right)[/tex]

so

[tex]\left(x-10\right)-\left(2x\:-\:5\right)^2[/tex]

solving and simplifying the polynomial in standard form

[tex]\left(x-10\right)-\left(2x-5\right)^2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=x-10-\left(2x-5\right)^2[/tex]

[tex]=x-10-\left(4x^2-20x+25\right)[/tex]      ∵ [tex]\left(2x\:-\:5\right)^2=\:4x^2-20x+25[/tex]

[tex]=x-10-4x^2+20x-25[/tex]

[tex]=-4x^2+21x-35[/tex]

We know that standard form means that the terms of the expression are ordered from biggest exponent to lowest exponent.

Thus, a simplified polynomial in standard form is:

[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]

The cost C, in dollars, to have medical records transcribed is a function of time, t in hours. A physician's group spends C(t) = 0.04t3 – 0.1t2 + 5.5t dollars to transcribe the physician's. Notes to an electronic document each month. What is the instantaneous rate of change when the transcriptionist has spent 100 hours transcribing records? A) $118.50 B)$395.50 C)$1,185.50 D)$1,195.50

Answers

Answer:

B. $39550

Step-by-step explanation:

The expression for the function is not well-formatted, find the correct format in the solution bellow

Step one:

given data

We are told that the function of the cost is

[tex]C(t) = 0.04t^3- 0.1t^2 + 5.5t[/tex]

instantaneous rate c(t) is the value obtained when we plug in 100 for t in the function above

substituting we have

[tex]C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550[/tex]

$39550

please help i’ll give brainliest

Answers

Answer: it's a (1,2)

Step-by-step explanation:

The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on this DVD in dollars
and cents?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.

Answers

Answer:

$1.92

Step-by-step explanation:

Sales tax = 8% of 24

               [tex]= \frac{8}{100}*24[/tex]

               = 0.08 * 24

               = $1.92

1.92$ would be the answer

I need help plz percent equations the question is blank% of 16 = 12

Answers

Answer:

16 x 0,75

(0,75 = 3/4) so you could take 3 x 16 = 48 and then take 48/4 and the answer should be 12 but the percent is 75%

Decrease 30g by 80%​

Answers

Answer: 6g

Step-by-step explanation:

80% of 30 g= 80/100*30

= 8*3

=24g

(30-24g)

= 6g

Answer:

6g

Step-by-step explanation:

80% of 30 g = 80/100*30

= 8*3

= 24g

(30-24)g

= 6g

(-1,5) (2,-5) what is the slope can anyone please help

Answers

Slope= y2 - y1
———- = 1/0 or 1
X2 -X1
-1-2 = 1
-5-5= 0

please help if u dont know how to answer then please dont answer

Answers

Answer:

table is x    y

            1     30 that is all you need to solve the whole thing I have to go to the movies

Step-by-step explanation:

Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years

Answers

9514 1404 393

Answer:

  $241.81

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

Filling in the values and doing the arithmetic, we have ...

  I = $2650×0.0365×2.5

  I = $241.81

The simple interest paid is $241.81.

please please help i’ll give brainliest please tysm :))

Answers

Answer:

36 is the answer for this problem

Answer:

36

Step-by-step explanation:

it is multiplying by 6

1*6=6

6*6=36

30*6=160

PLS HELP ASAPPPp!!! I DONT HAVE TIME I ONLY GOT 5 MINUTES PLS HELP THERES TWO QUESTIONS AHHH IM FREAKING OUT!

Answers

Answer:

1) $500

Step-by-step explanation:

It literally says $500 on the table hope this helps :D

For #2, i cant see the full question.

Hope this helps :D Please hit the crown if you want me to help you on the last one then tell me and make a new question !!!!!!!!!!!!

Answer:

500, x times 500 = y

Step-by-step explanation:

Question 1: $500, if you look at the table underneath the section for "one" compute it says 500 in the cost section.

Question 2: X times 500 = Y (since for every "x" (computer) there is $500 "y" (cost))

Describe and correct the error below.

-2.2 * 3.7= 8.14

PLS ANSWER THIS I NEED YOUR HELP
AND IF YOU DO HELP I PROMISE I WILL MAKE THE YOU BRAINLIEST

Answers

Step-by-step explanation:

It is given that,

-2.2 × 3.7 = 8.14

The first number is -2.2

The second number is 3.7

We know that, (-) × (+) = - (the answer is a negative)

If we multiply -2.2 and 3.7, we will get -8.14.

But in the given case, the answer is 8.18 instead of -8.14. Hence, this is the only error.

The altitude of Object B is 27 times the altitude of Object A. The altitude of Object A is $3^3$ feet. What is the altitude of Object B? Write your answer as a power.
ft

Answers

Answer:

3^6

Step-by-step explanation:

We know that A is 3^3 and B is 27 times that.

3•3•3=27

So B is 3•3•3• of 3^3 which is 3•3•3•3•3•3

Write the answer to the exponents which will be 3^6

A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

Answers

Answer:

A. [tex] PR = 80.6 yd [/tex]

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]

[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]

[tex] PR = \sqrt{4,900 + 1,600} [/tex]

[tex] PR = \sqrt{6,500} [/tex]

[tex] PR = 80.6 yd [/tex] (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

plssss help me mathh

Answers

Answer:

C and E

Step-by-step explanation:


Help me !! Which one is it ?

Answers

Answer:

c

Step-by-step explanation:

t to the second power - 12w ÷ x

t=8
w=1/2
x=3

Answers

Answer:

62

Step-by-step explanation:

Since we know what each value of the three variables are, you can substitute each variable in the expression to get:  

[tex]8^{2} -12(\frac{1}{2})[/tex] ÷ 3  

Simplify to get:

64 - 6 ÷ 3

Solve the rest:

64 - 2  →  62

Answer: 62

Hope this helps! :)

I need help with 5 other ones I’ll give brainlest if you help me

Answers

Answer:

-1/3

Step-by-step explanation:

slope =rise /run = -1/3

from left to right your line goes down so the slope is negative

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

To find the slope, you need to find the rise (y-direction) over the run              (x-direction). The rise is 1, and the run -3. Put them in a fraction to get [tex]-\frac{1}{3}[/tex].

Hope this helps! :)

Plsss help I’ll give u brainlest and 10 points

Answers

i think it’s B- additional property of 0

Buying cheese for your pizza.
Store 1: $5.00 for 2 pounds of cheese
Store 2: $8.00 for 4 pounds of cheese
Find the unit price of cheese (price for one pound) at Store 1 by completing the chart below.
Label the missing numbers for pounds of cheese and cost.

Answers

Answer:

$21.00 and the pound is 6

Step-by-step explanation:

Simplify this Expression

Answers

Answer: = 1

Step-by-step explanation:

Evaluate 3x – 4 when x=7. The value of the expression is​

Answers

Answer:

3(7) - 4 = 17

Step-by-step explanation:

Substitute 7 for x and solve.


ten more than two times a number is fourteen more than negative four times a number. Find the number

Answers

Answer:

4/6 or as a decimal 0.666

Step-by-step explanation:

Convert to numbers and letters. 10 + 2n = -4n + 14

Move the like terms to their side: 6n = 4

Divide by 6: n = 4/6 or as a decimal 0.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

convert
27/8
41/18
41/15
and 29/12
into Mixed numbers show steps please

Answers

Answer:

Ok

Step-by-step explanation:

27/8 = 3 3/8

41/18 = 2 5/18

41/15 = 2 11/15

29/12 = 2 1/3

Bob puts a glass of water in the freezer and records the temperature every 15 minutes. The results are displayed in the table below. If this pattern continues, what will be the temperature at 2:15 PM? Explain your answer.

1:00 PM 92 Degrees
1:15 PM 60 Degrees
1:30 PM 44 Degrees
1:45 PM 36 Degrees

Answers

Answer:

30 Degrees

Step-by-step explanation:

As per table we see the difference and pattern of decrease 1/2 times every 15 minutes:

1:00 PM 92 Degrees 1:15 PM 60 Degrees  = -32 Degrees 1:30 PM 44 Degrees  = -16 Degrees 1:45 PM 36 Degrees = -8 Degrees

Expected

2:00 PM 32 Degrees = -4  Degrees 2:15 PM 30 Degrees  = -2 Degrees

Simplify 3/5+(-1/4) 7/10

Answers

Answer:

17/40

Step-by-step explanation:

Answer:

17/40 or .425

Step-by-step explanation:

please tell me if my answers are right

Answers

Yeah I’m PREETY sure

if the length o a football is 100 yards and the width is 53.3 yars,what is the area

Answers

Answer:

5330 yards2

Step-by-step explanation:

Answer:

In track meets both 100 yards and 100 meters are used as distances. By how many meters is100 meters longer than 100 yards? 0.0856 m b. 0.856 m c. 1 m d.  8.56 m

Please mark brainiest :)  

Answer : 4 873.752 m2

Dans chaque cas suivant, écris le symbole approprié ∈ ou ∉.

Answers

Answer:

Anglais s'il vous plait, je ne vous comprends pas

Step-by-step explanation:

I have no idea what that says I’m just here for the points hope you get it right

WILL GIVE BRAINLIST
options: given, vertical angles, corresponding angles, and transitive​

Answers

Answer:

1. Given

2. Vertical angles

3. Transitive

4. Corresponding Angles

Step-by-step explanation:

1. Number one is given because it is the statement that is given

2. Number two is vertical angles because they are two opposite angles that are formed by the same lines. The statement also says they are congruent, which is true of vertical angles.

3. From the given answers 3 must be transitive because <2=<4 and <2=<6. Although alternate interior angles is also an appropriate answer.

4. Number four must be corresponding because they are on the same side of the intersection of the lines, so they are both in the top right. Also, the statement says they are congruent which is true of corresponding angles.

Other Questions
In 200 words explain who took part in the victory for the U.S during world war 2 and why did they play a huge role? 88 x 88/22 x 11 x 11 Help please!! and actually try to solve it this is a test and I wanna do good PLEASE HELP ME SOON pleaseeeeeeeHow is an inequality different from an equation? Give a real-world scenario in which you would write an inequality rather than an equation.HELPPPPPPPPPPPPPPPP PLEASEEEEEEEEE Which of the following tribes did not inherit any land? (BIBLE)A Simeon hurry please help will give the brainiest B Levi giving thirty points!C DanD Judah Pleaseeeee Ill give first correct answer brainliest ill give brainliest plz help!!I WAS THE FEDERALIST CANDIDATE FOR PRESIDENT IN 1800. WHO AM I? Explain why observation is so important to drawing. Solve for x given 16 = 2x + 2( 4+ x) Lashonda has bought 18 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last? Write your answer in simplest form. pleeaseeeeeeeeeee hellpppppp solve 6x + 2 = 2(x + 4) - 2. A. x= -1B. there are infinitely many solutions C. x= 1D. x = -7/13 What does each variable in the Slope-Intercept Form equation represent? List three things that western europe got from china because of the silk road Select the correct answer. Find the quotient of (5+4i)/(6+8i) , and express it in the simplest. Standard to Slope Intercept Form. 8x + 10y = 70Please answer! What does this process lead to?Chiasma Describe what happened to the Muslim goverment of Spain in the early 1000's 34. Education, Fuel, Food and Clean water are all listed as important factors in limiting.a. Human Development indexb. Gross Domestic Productc. Infant Mortalityd. Carrying Capacity Which point would be the image of (-3,-9) after a reflection over the y-axis? (3,-9)(-3,9)(3,9)(-3,-9) Arrange Kepler's laws in order: a. The ratio of the squares of the periods of any two planets revolving around the sun is equal to the ratio of the cubes of their average distance from the sun. b. The path of each planet around the sun is an ellipse with the sun at one focus. c. As a planet moves in its orbit, a line from the sun to the planet sweeps out equal areas in equal times. a. 3, 2, 1 b. 2, 3, 1 c. 3, 1, 2 d. 1, 2, 3