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REVIEW QUIZ: FACTORING POLYNOMIALS

Total questions: 25

Worksheet time: 18mins

Name
Class
Date
1.

The square of a binomial is a perfect square binomial.

a)

TRUE

b)

FALSE

2.

The factors of a difference of two squares are a sum and a difference of two terms.

a)

TRUE

b)

FALSE

3.

All integers can be written as a product of prime numbers.

a)

TRUE

b)

FALSE

4.

Factoring by grouping is a technique used in factoring where the polynomial’s terms are grouped to find a common factor.

a)

TRUE

b)

FALSE

5.

The first thing to consider in factoring a quadratic trinomial is the product of the leading numerical coefficient and the third numerical coefficient (constant term).

a)

TRUE

b)

FALSE

6.

Any quadratic trinomial with integer coefficients is factorable.

a)

TRUE

b)

FALSE

7.

The product of (x5)(x25x + 25)\left(x-5\right)\left(x^2-5x\ +\ 25\right) is  x3125x^3-125 .

a)

TRUE

b)

FALSE

8.

If  xmynx^m-y^n  is a difference of two squares, then only one of m or n should be even integer.

a)

TRUE

b)

FALSE

9.

The expression xm+ynx^m+y^n  is a difference of two cubes, if both m and n are multiples of three.

a)

TRUE

b)

FALSE

10.

If m and n are both even integers, then xm+ynx^m+y^n is factorable.

a)

TRUE

b)

FALSE

11.

Factor the expressions completely by supplying the missing factor(s).


 a33a=aa^3-3a=a   (a)  


12.

Factor the expressions completely by supplying the missing factor(s).


 a23a28=(a7)a^2-3a-28=\left(a-7\right)     (a)  

13.

Factor the expressions completely by supplying the missing factor(s).


 a26a16=(a+2)a^2-6a-16=\left(a+2\right)  (a)    

14.

Factor the expressions completely by supplying the missing factor(s).
 a2+a2=(a+2)a^2+a-2=\left(a+2\right)   (a)  

15.

Factor the expressions completely by supplying the missing factor(s).


 a2+21a+90=(a+15)a^2+21a+90=\left(a+15\right)   (a)  

16.

Factor the expressions completely by supplying the missing factor(s).


 a2+4a+32=1-a^2+4a+32=-1   (a)  

17.

Factor the expressions completely by supplying the missing factor(s). 


 a2a+2=1 -a^2-a+2=-1\    (a)  

18.

Factor the expressions completely by supplying the missing factor(s). 


 a2b2c+11ab2c+24b2c=b2ca^2b^2c+11ab^2c+24b^2c=b^2c   (a)  

19.

Factor the expressions completely by supplying the missing factor(s). 

 12x318x2=6x212x^3-18x^2=6x^2   (a)  

20.

A.    Factor the expressions completely by supplying the missing factor(s). 


 25x2=(5x)25-x^2=\left(5-x\right)   (a)  

21.

Which of the following is the factored form of the expression

 5x213x6?5x^2-13x-6?  

a)

(x-3)(5x+2)

b)

(x+3)(5x+ 2)

c)

(x-3)(x +2) 

d)

(x+3)(x+2)

22.

Factor the expression completely: 6x34x216x6x^3-4x^2-16x  

a)

0

b)

 2x(3x22x8)2x(3x^2-2x-8)  

c)

 2x(3x+4)(x2)2x(3x+4)(x-2)  

d)

 4x(2x+1)(x4)4x(2x+1)(x-4)  

23.

Is it possible to factor the expression 19x10(y+4)+7(y4)19x^{10}(y+4)+7(y-4) ? If so, factor it.

a)

Yes:  (19x10+7)(y+4)(19x^{10}+7)(y+4)  

b)

Yes:  (19x10+7)(y4)(19x^{10}+7)(y-4)  

c)

Yes:  (19x10+7+4+y)(19x^{10}+7+4+y)  

d)

No

24.

 x212x+32=(x8)(       )x^2-12x+32=(x-8)(\ \ \ \ \ \ \ )  

a)

x - 4

b)

x + 4

c)

x + 8

d)

8 - x

25.

Find the greatest common factor of the terms: 12t, 18

a)

6

b)

36t

c)

6t

d)

12