Question 1

Find the missing factor:  - 105${a^3}$${b^6}$ = (7a$b^{2}$)(?)

Accepted Answer

-15$a^{2}$$b^{4}$

Answer

-15$a^{3}$$b^{3}$

Answer

-112$a^{3}$$b^{3}$

Answer

-25$a^{2}$$b^{4}$

Question 2

What is the largest factor common to 9${x^3}$ and 27${x^4}$?

Accepted Answer

9${x^3}$

Answer

9${x^4}$

Answer

27${x^4}$

Answer

27${x^3}$

Question 3

What is the GCF in the expression 2ab+2ac-2a?

Accepted Answer

2a

Answer

a

Answer

2b

Answer

2

Question 4

What is the common monomial factor of the polynomial 5${x^2y^3}$+15${x^4y^2}$-35${x^3y^4}$?

Accepted Answer

5${x^2y^2}$

Answer

5${x^2y^3}$

Answer

5${x^4y^2}$

Answer

5${x^3y^4}$

Question 5

Which mathematical statement is correct?

Accepted Answer

(2x-y) (3x-y)

=

6x^2-5xy^{ }+y^2

Answer

${(4x-5) (4x-5) = 16x^2-25}$

Answer

${(2x+5)^2 = 4x^2+25}$

Answer

${(3x-4) (2x+7) = 6x^2-13x-28}$

Question 6

Expression A: ${4x^2-81}$; Expression B: $(2x-9) (2x+9)$; If $x=2$, what can you conclude about the given expressions?

Accepted Answer

A=B

Answer

A>B

Answer

A<B

Answer

A≠B

Question 7

If $(x-4)$ is multiplied by $(x+4)$, how will you describe the product?

Accepted Answer

difference of two squares

Answer

perfect square trinomial

Answer

sum and difference of two squares

Answer

cube of the binomial

Question 8

What value of $c$ makes ${25x^2 – 30xy + c}$ a perfect square?

Accepted Answer

${9y^2}$

Answer

$9y$

Answer

${y^2}$

Answer

$9$

Question 9

Identify the common monomial factor of the polynomial ${8a^5b^2+6a^7b^3}$

Accepted Answer

${2a^5b^2}$

Answer

${5a^3b^4}$

Answer

${8a^4b^2}$

Answer

${6a^2b^3}$

Question 10

State if $5x$ is the GCF of the expression ${15xy+20x^2y}$.

Accepted Answer

no, the GCF is $5xy$

Answer

no, the GCF is ${5x^2y}$

Answer

no, the GCF is $xy$

Answer

Yes

Question 11

Express the product ${25y^2-81x^2}$ into factors.

Accepted Answer

$(5y+9x) (5y-9x)$

Answer

$(5y+9x) (5y+9x)$

Answer

$(5y-9x) (5y-9x)$

Answer

${(5y-9x)^2}$

Question 12

The following polynomials are factors of ${(16x^2-16)}$, except __________.

Accepted Answer

${x^2+1}$

Answer

$x+1$

Answer

16

Answer

$x - 1$

Question 13

Give the missing factor of ${25a^2b^2-4}$ =$(5ab-2)$ (__________).

Accepted Answer

$5ab+2$

Answer

${5a^2b^2-2}$

Answer

${5a^2b^2+2}$

Answer

$5ab-2$

Question 14

Factor ${x^3-8}$.

Accepted Answer

$(x-2) (x^2+2x+4)$

Answer

$(x+2) (x^2-2x+4)$

Answer

$(x-2) (x^2-2x+4)$

Answer

$(x+2) (x^2+2x+4)$

Question 15

Which of the following gives the product of $(x^2 + 5x + 4)$?

Accepted Answer

$(x+1)(x+4)$

Answer

$(x+2)(x+2)$

Answer

$(x+2)^2$

Answer

$(x+5)(x-1)$

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