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Polynomial Review!

Total questions: 13

Worksheet time: 37mins

Name
Class
Date
1.

Subtract and write in standard form:

(2x2+4x+10) - (x2-3x+12)

a)

x2+x+22

b)

x2+7x-2

c)

x2+7x+22

d)

x2+x-2

2.

Write in standard form:

 (3x−4)(2x2+5x−3)\left(3x-4\right)\left(2x^2+5x-3\right) 

a)

 6x3+7x2 −29x+126x^3+7x^{2\ }-29x+12  

b)

 6x3 +15x−9x+126x^{3\ }+15x-9x+12 

c)

 6x2 +15x+126x^{2\ }+15x+12  

d)

 5x3 +15x2−9x5x^{3\ }+15x^2-9x  

3.

Factor: x2+9x-10

a)

(x-5)(x+2)

b)

(x+5)(x-2)

c)

(x+10)(x-1)

d)

(x-10)(x+1)

4.

What is the leading coefficient of the following polynomial?

 y=2x3−5x4+7xy=2x^3-5x^4+7x  

a)

-5

b)

5

c)

2

d)

4

e)

3

5.

Write in standard form:

(4x+1)(5x−2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 18x + 2

d)

20x2 − 3x − 2

6.

 Write in standard form:

 5x5−3x8+3x−4x2 +115x^5-3x^8+3x-4x^{2\ }+11 

a)

 −3x8+5x5−4x2+3x+11-3x^8+5x^5-4x^2+3x+11  

b)

 3x8−5x5+4x2−3x−113x^8-5x^5+4x^2-3x-11  

c)

 11+5x5−4x2+3x−3x811+5x^5-4x^2+3x-3x^8  

d)

 11+3x−4x2+5x5−3x811+3x-4x^2+5x^5-3x^8  

7.

What is the degree of this polynomial? 3x4+6x−5x7+33x^4+6x-5x^7+3  



(a)  

8.

What is the leading coefficient of this polynomial? 
 3x4+6x−5x7+33x^4+6x-5x^7+3  



(a)  

9.

What is the leading term of this polynomial? 
 −5x3−3x+2x2+7x3-5x^3-3x+2x^2+7x^3  

a)

 2x32x^3  

b)

 −5x3-5x^3  

c)

 2x22x^2  

d)

 7x37x^3  

10.

What is the end behavior of the polynomial? f(x)=4x4+5x2 +3x+5f\left(x\right)=4x^4+5x^{2\ }+3x+5  

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

11.

What is the end behavior of the polynomial?
 f(x)=(2x−2)(x2+4)f\left(x\right)=\left(2x-2\right)\left(x^2+4\right)  

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

12.

What is the leading term of this polynomial? 
 f(x)=−3(x+1)(2x−4)f\left(x\right)=-3\left(x+1\right)\left(2x-4\right)  

a)

 −6x2-6x^2  

b)

 2x22x^2  

c)

 −3x2-3x^2  

d)

 −1x3-1x^3  

13.

Which is NOT an x-intercept? 
 f(x)=2(x+1)(4x−2)(x−4)f\left(x\right)=2\left(x+1\right)\left(4x-2\right)\left(x-4\right)  

a)

 x=−1x=-1  

b)

 x=12 x=\frac{1}{2\ }  

c)

 x=4x=4  

d)

 x=2x=2