Free Printable Quiz 1: Factoring Polynomial

1.

What does GCF means?

a)

Greatest Composite Factor

b)

Great Common Factorial

c)

Greatest Common Factor

d)

Great Composite Factorial

2.

What is the greatest common factor (GCF) of

5a^3\ ,\ 10a^2\ ,\ 15a

?

a)

$5a^3$

b)

$5a^2$

c)

$5a$

d)

$5$

3.

What are the factors of

$10x\ +\ 25y\ ?$

a)

$5x\left(2\ +\ 5y\right)$

b)

$5\left(2x\ +\ 5y\right)$

c)

$5y\left(2x\ -\ 5\right)$

d)

$5xy\left(2\ +\ 5\right)$

4.

What is the greatest common monomial factor of

$15x^2y\ +\ 20xy^2\ ?$

a)

$5x\left(3x\ +\ 4y\right)$

b)

$5y\left(3x\ -\ 4y\right)$

c)

$5xy\left(3x\ +\ 4y\right)$

d)

$5xy\left(3xy-\ 4xy\right)$

5.

The factor of

ac+\ ad\ +\ bc\ +\ bd

is ________________________

a)

$\left(a\ +\ b\right)\left(c\ +\ d\right)$

b)

$\left(b\ +\ c\right)\ \left(a\ +\ d\right)$

c)

$\left(c\ -\ d\right)\left(a\ +\ b\right)$

d)

$\left(a\ -\ d\right)\left(b\ -\ c\right)$

6.

Factor the expression

3xy\ +\ py\ -6xz-2pz

.

a)

$\left(xy\ +\ 3p\right)\left(2xz\ -\ 2pz\right)$

b)

$\left(3x\ +\ 2z\right)\left(6z\ -y\right)$

c)

$\left(6x\ -\ 2p\right)\left(3y\ -py\right)$

d)

$\left(3x\ +\ p\right)\left(y\ -\ 2z\right)$

7.

What will be the product of

$\left(x\ +\ 3y\right)\left(5a\ -\ 2b\right)?$

a)

$15ay\ -\ 2bx\ -\ 6by\ +5ax$

b)

$5ax\ \ -\ 6by$

c)

$2bx\ +\ 6by\ -\ 15ax\ -\ 10ab$

d)

$15ay\ +\ 2bx\ +6by\ -5ax$

8.

Fill in the blank to make the expression

b^2

________+ 36 a perfect square trinomial.

a)

12

b)

12b

c)

6

d)

6b

9.

What number is needed to make the expression

25x^{2\ }+20x\ \

_______ a perfect square trinomial?

a)

4

b)

- 4

c)

10

d)

- 10

10.

Is the expression

9x^2\ +\ 12x\ +\ 4

a perfect square trinomial?

a)

Yes

b)

No

11.

$a^2\ -4a\ -\ 4$ is a perfect square trinomial.

a)

Yes

b)

No

12.

What are the factor of

$16m^2\ \ +\ 8m\ +\ 1?$

a)

$\left(4\ \ +\ m\right)^2$

b)

$\left(4m\ +\ 1\right)^2$

c)

$\left(4\ -\ m\right)^2$

d)

$\left(4m\ -\ 1\right)^2$

13.

The factor of a perfect square trinomial is _______________.

a)

Difference of Two Cubes

b)

Sum Of Two Cubes

c)

Square of a Monomial

d)

Square of Binomial

14.

What are the factors of the expression

9x^2\ -\ 25y^2

?

a)

$\left(3x\ -\ 5\right)\left(3x\ +\ 5\right)$

b)

$\left(3\ +\ 5y\right)\left(3\ -\ 5y\right)$

c)

$\left(3x\ +\ 5y\right)\ \left(3x\ -\ 5y\right)$

d)

$\left(3y\ +\ 5x\right)\left(3y\ -\ 5x\right)$

15.

The factors of the difference between two squares are _____________.

a)

Sum and difference of their square roots.

b)

Sum of two Cubes

c)

Difference of two Cubes

d)

Square of binomial

16.

The factors of

144\ -x^2\

are ________

a)

$\left(12\ +\ x\right)^2$

b)

$\left(12\ -\ x\right)^2$

c)

$\left(12\ -\ x\right)\left(12\ +\ x\right)$

d)

$\left(72\ -\ x\right)\left(72\ +\ x\right)$

17.

The factors of $a^3\ +\ b^3$ are _______________.

a)

$\left(a\ +\ b\right)\left(a^2\ -ab\ +b^2\right)$

b)

$\left(a\ -\ b\right)\ \left(a^2\ +\ ab\ +\ b^2\right)$

c)

$\left(a\ -\ b\right)\left(a^2\ -\ ab\ -b^2\right)$

d)

$\left(a\ +\ b\right)\left(a^2\ +ab\ +\ b^2\right)$

18.

The factors of $a^3\ -\ b^3$ are _______________.

a)

$\left(a\ +\ b\right)\left(a^2\ -ab\ +b^2\right)$

b)

$\left(a\ -\ b\right)\ \left(a^2\ +\ ab\ +\ b^2\right)$

c)

$\left(a\ -\ b\right)\left(a^2\ -\ ab\ -b^2\right)$

d)

$\left(a\ +\ b\right)\left(a^2\ +ab\ +\ b^2\right)$

19.

The factors of $x^3\ -\ 8$ are _______________.

a)

$\left(x\ +\ 2\right)\left(x^2\ -2x\ +4\right)$

b)

$\left(x\ -\ 2\right)\ \left(x^2\ +\ 2x\ +\ 4\right)$

c)

$\left(x\ -\ 2\right)\left(x^2\ -\ 2x\ -4\right)$

d)

$\left(x\ +\ 2\right)\left(x^2\ +2x\ +\ 4\right)$

20.

The factors of $m\ +\ 125$ are _______________.

a)

$\left(m\ +\ 5\right)\left(m^2\ -5m\ +25\right)$

b)

$\left(m\ -\ 5\right)\ \left(m^2\ +\ 5m\ +\ 25\right)$

c)

$\left(m\ -\ 5\right)\left(m^2\ -\ 5m\ -25\right)$

d)

$\left(m\ +\ 5\right)\left(m^2\ +5m\ +\ 25\right)$

21.

Which of the following will complete the statement below?

If the product is positive, then m and n have _____________.

a)

Opposite sign

b)

Both Negative

c)

Both Positive

d)

Both negative or both positive

22.

What is the factored form of $x^{2\ }-\ 49\ ?$

a)

$\left(x\ -\ 7\right)\left(x\ +\ 7\right)$

b)

$\left(x\ -\ 49\right)\left(x\ +\ 49\right)$

c)

$\left(x-\ 7\right)\left(x\ -7\right)$

d)

$\left(x\ -\ 49\right)\left(x\ -\ 49\right)$

23.

Which of the following is equivalent to 18x + 12y?

a)

6(3x + 2y)

b)

2(9x + 8y)

c)

3(6x + 5y)

d)

4(5x + 3y)

24.

A polynomial with two terms is _________

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Square root

25.

A polynomial with three terms is _________

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Square root

Quiz 1: Factoring Polynomial

Total questions: 25

Worksheet time: 28mins

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