is f(x)=5x^2+6x^3 a polynomial function​

Answers

Answer 1
Polynomials are expressions whose exponents are non-negative integers and the coefficients are real numbers. The leading term is the term with the highest power. The coefficient of the leading term is the leading coefficient. The power of x in the leading term is called the degree of the polynomial! Here are some examples of polynomials:
Degree Name Example
0 constant 11
1 linear 4x + 7
2 quadratic 3x2 + 4x + 5
3 cubic 4x3 + 3x + 7
4 quartic 3x4 + 2x2 + 4
5 quintic x5 + 3x + 1
Any value of x such that P(x) = 0 is a root of the equation and a zero of the function.
Review of synthetic substitution
To use synthetic substitution, do the following:
1) Write the polynomial in descending order.
2) Make sure any missing terms are replaced with zero!
3) Bring down the leading coefficient.
4) Multiply by the divisor and add to the next term.
5) Repeat the process until the last coefficient is reached.

Example
Use synthetic division to find P(2) for P(x) = 2x3 - 9x2 + 27
2| 2 -9 0 27
4 -10 -20
2 -5 -10 7 The value of P(2) = 7, the last number!!
Sample Problems
1) State whether each is a polynomial function. If yes, find the degree and the zeros.
Problem Polynomial? Degree zeros
a) f(x) = 5 - 4x yes 1 5/4
b) f(x) = 3x2 - 6x yes 2 0, 2
c) f(x) = x - 3/x no
d) f(x) = 18 yes 0 none
e) f(x) = (x-3)/(x+2) no
2) Use synthetic substitution to find P(3) for each function:
a) P(x) = 4x3 - 5x2 + 3
3| 4 -5 0 3
12 21 63
4 7 21 66
Therefore, P(3) = 66

b) P(x) = 3x4 + 2x3 - 5x - 2

3| 3 2 0 -5 -2
9 33 99 282
3 11 33 94 280
Therefore, P(3) = 280


3) If 4 is a zero of f(x) = 3x3 + kx - 2, find the value of k.
Since 4 is a zero, the value of f(4) = 0. Use synthetic substitution.
4| 3 0 k -2
12 48 192 + 4k
3 12 48 + k 190 + 4k
Now 190 + 4k = 0, solve for k
4k = -190
k = -190/4 = -47.5

Related Questions

Solve each of the following equations for the missing variable.
-2.5x – 10 = 40
O x = 20
O x= -20
O 50
-50

Answers

Answer:

-20

Step-by-step explanation:

-2.5x = 40 + 10

- 2.5x = 50

x = 50/-2.5 = -20

Hi hi I hope you know I’m not doing anything right

Assume the number of customers who order a dessert with their meal on a given night at a local restaurant has the probability distribution given below. The variance for the random variable x is _____. a. .77

Answers

Complete question :

X: 3, 4, 5, 6

f(x): .25, .55, .15, .05

Answer:

0.60

Step-by-step explanation:

Given the data:

Variance (s) :

Σx²*f(x) - E(x)²:

E(x) = (3*0.25) + (4*0.55)+(5*0.15)+(6*0.05) = 4

Σx²*f(x) - E(x)²: [(3^2 * 0.25)+(4^2 * 0.55)+(5^2 * 0.15)+(6^2 * 0.05)] - 4²

16.6 - 16 = 0.6


What is the solution to the equation 7,- 5* ++5
-
16
ff - 25?
h = 11
3
h = 5
h = 7
6
21
2

Answers

Answer:

the answer to the problem is h=7

Help me please!!!!!!!!

Answers

Step-by-step explanation:

To solve the equation for s we've got to leave s alone

[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]

Need help on these two questions ♡​

Answers

Answer:

for question 5 it is the last option

for question 6 it is the 3rd option down

Step-by-step explanation:

janelle has 25 pictures on her cell phone.she takes 7 more pictures, and then deletes 9 pictures . how many pictures does she have ?

Answers

Answer:

23

Step-by-step explanation:

Answer: 23 pictures

Step-by-step explanation:

25 + 7 = 32

32 - 9 = 23

Your answer will be 23 pictures.

Hope this helps!

If an angle measuring 18 ° is bisected to form two new angles , what is the measure of each new angle ?

Answers

Answer:

9 degrees

Step-by-step explanation:

18/2=9

Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.​

Answers

Answer:

50.1

The area of the composite figure is 50.1

Trust me

You play a game using fair dice and fair coins. First you flip 72 coins. For each coin that is a heads, you roll 5 six-sided dice. You sum all the six-sided dice you roll to calculate your total score. What is the expected total score from this game

Answers

Answer:

630

Step-by-step explanation:

Given that:

First flip = 72 coins

For each coin which is a head, you roll = 5, six-sided dice

Thus, the expected sum on a single six-sided dice = [tex]\sum x P(x)[/tex]

[tex]\sum x P(x)[/tex] = [tex]\dfrac{1}{6}\times (1+2+3+4+5+6)[/tex]

[tex]\sum x P(x)[/tex] = 3.5

Thus, the expected sum on the five six-sided dice = 5 × 3.5 = 17.5

However, for a single flip :

The expected sum = P(heads) × expected sum on 5 dice + P(tails) × expected sum on 0 dice.

Expected sum = [tex]\dfrac{1}{2} \times 17.5 + \dfrac{1}{2} \times 0[/tex]

Expected sum = 8.75

Hence, the expected total score from this game = 72 × 8.75 = 630

Darnell uses 1 1/4 packages of beads to make 10 bracelets. He wants to make 25 bracelets. How many packages of beads will he use?

Answers

Answer:

I believe the answer is 3 1/8

Step-by-step explanation:

Since he uses 1 1/4 packages just to make 10, we can start with him making the 20. That would mean he uses 2 1/2 packages. Now all we have left is the 5 in 25. 5 is half of 10 and since you use 1 1/4 to make 10 bracelets, use half of it to make 5. Add up all the package use and you get 3 1/8. This was kinda rushed so I'm not 100% sure, but I'm like 95% sure. Hope this helps!

3¹/₈ packages of beads are required to make 25 bracelets

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

Darnell uses 1 1/4 packages of beads to make 10 bracelets that is :

1 ¹/₄ = 5/4 packages of beads requires to make = 10 bracelets

Now, divide both side by 10 we get :

to make 1 bracelets = 5/40 = 1/8  packages of beads are required

Now, to find the numbers  packages of beads to make 25 bracelets multiply both side by 25 :

to make 25 bracelets =  25/8  = 3¹/₈ packages of beads are required.

Therefore, 3¹/₈ packages of beads are required to make 25 bracelets

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ5

2x^2+2=3x complete the square i need full explaination ASAP

Answers

Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

Does anyone know this answer !!!!!!

Answers

Answer:

13

Step-by-step explanation:

5x + 25 = 7x - 1

-7x. -7x

-2x + 25 = -1

-25. -25

-2x = -26

-2. -2

x = 13

A push lawnmower is priced at $299.50. There is an 8% sales tax rate. What is the sales tax of the pusher lawnmower in dollars and cents?

Answers

Answer:

$323.46

hope this helped :)

$323.46
$299.50 + 23.96 = 323.46

A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Answers

Answer:

A)  F(x) = 50 + ( x - 10 )*9  

B) Graph

C) lim ( x ⇒ 10) F(x) = 50

Step-by-step explanation:

A) F(x) = 50 + ( x - 10 )*9       since the first 10 hours are included in initial fee

B) In Annex

C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9

lim ( x ⇒ 10) F(x) = 50 + 0

lim ( x ⇒ 10) F(x) = 50

Write each phrase as an expression.
Double the sum of x and 4.

Answers

your answer should be 2(x+4)

Can someone help me please

Answers

Answer:

your on the right one it's -7.5

Answer:

the answer is -7.5

Step-by-step explanation:

the answer is -7.5 because whenever you add a negative plus a negative it changes the equations symbol so it would be -4 minus 3.5 and the answer would be -7.5.

hope this helps :)

- by chance may i get brainliest

Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?

Answers

1 1/3 every single mile

Choose the equation that represents the line passing through the point -3 and -1 with a slope of 4

Answers

Answer:

y=4x+11

Step-by-step explanation:

y=mx+b.          

-1=4(-3)+b

-1=  -12+b

+12 +12

11=b

Answer:

y = 4x + 11

Step-by-step explanation:

factorise 3x^3-4x^2-28x-16​

Answers

Answer:

i just saw that on google, but i'm not sure if that's what you are looking for

Answer: -2

Step-by-step explanation:

Hope it help you

Stayhomestaysafe

REAL NAME - SHRESTH DUBEY

Solve problem:
8-6•4+10/2

Answers

Answer:

[tex]8 - 6 \times 4 + \frac{10}{2} \\ = 8 - 6 \times 4 + 5 \\ = 8 - 24 + 5 \\ = 8 + 5 - 24 \\ = 13 - 24 \\ = - 11[/tex]

it is 200% correct answer..

It helps you ☺️

Thank you ☺️

Determine how many solutions the following equation has using quadratic formula x^2+5x=-8

Answers

Answer:

I will be using differentiation method

Step-by-step explanation:

x^2+5x =-8

2×x ×x^2-1 +5x = -8

2x +5x = -8

7x = -8

divide both sides by the co-efficient of x

7x÷7=-8÷7

x =-1.5

Multiply. Do not round your answer.
2.48x8.62 =?

Answers

Answer:

21.3776

Step-by-step explanation:

Answer: 21.3776

This is what I got for the answer hope it helps.

What is the answer tho

Answers

Answer:

to?

Step-by-step explanation:

uh what’s ur question?

I WILL BRAINLIST ITS ONLY ONE PROBLEM !!!!!!!!!!!!!!!

Answers

Answer:

11/200

Step-by-step explanation:

This is the correct answer boo

11/200 is the answer lol

Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?

270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y.
Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0.
270 degree rotation about point 0 composition reflected across the y-axis
Reflected across the y-axis composition 270 degree rotation about point 0.

Answers

Answer:

270 degree rotation about point 0 composition .translations of negative 2 units

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Took the test

Solve this equation 6(2b + 12)

Answers

12b+72 is the answer
12b + 72

Hope this helps! :))

students in a science class recorded lengths of a streched spring, as shown in the table. determine if each statement is true or false.

(Look at picture above)

A. The relationship represents a constant rate of change. True or false?

B. The slope of the relationship is 6 grams per centimeter. True or false?

C. The equation that represents the relationship is y = x + 10. true or false?​

Answers

Answer:

Step-by-step explanation:

Write each fraction as a percent. Use a model if needed. V-2
7/10

21/25

3/5

18/25​

Answers

7/10 = 70%
21/25 = 84%
3/5 = 60%
18/25 = 72%
7/10 is 70%
21/25 is 84%
3/5 is 60%
18/25 is 72%

An​ avant-garde clothing manufacturer runs a series of​ high-profile, risque ads on a billboard on Highway 101 and regularly collects protest calls from people who are offended by them. The company has no idea how many people in total see the​ ad, but it has been collecting statistics on the number of phone calls from irate​ viewers:

Answers

Answer and Step-by-step explanation:

Please find attached

GIVING OUT BRAINLLEST:What is the slope of the line that goes through the points (1,-2) and (3,6)?
Question 1 options:

-4


4


1


2

Answers

answer is 4

brainliest plz :)

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