Free Printable factoring review g8

1.

Factor $6x^3-8x^4-10x^5$ .

a)

$2\left(3x^3-4x^4-5x^5\right)$

b)

$x^3\left(6-8x-10x^2\right)$

c)

$2x^2\left(3x-4x^2-4x^3\right)$

d)

$2x^3\left(3-4x-5x^2\right)$

2.

Factor: $x^2-169y^2$

a)

$\left(x+13y\right)\left(x+13y\right)$

b)

$\left(x-13y\right)\left(x-13y\right)$

c)

$\left(x-13y\right)\left(x+13y\right)$

d)

$\left(x-13y\right)\left(x+13\right)$

3.

Factor: $100x^2-60x+9$

a)

$\left(10x+3\right)^2$

b)

$\left(10x-3\right)^2$

c)

$\left(50x+3\right)^2$

d)

$\left(50x-3\right)^2$

4.

Factor: $\frac{1}{4}x^4-16y^4$

a)

$\left(\frac{1}{2}x+4y\right)\left(\frac{1}{2}x-4y\right)$

b)

$\left(\frac{1}{2}x^2+4y^2\right)\left(\frac{1}{2}x^2-4y^2\right)$

c)

$\left(\frac{1}{2}x+4y\right)\left(\frac{1}{2}x+4y\right)$

d)

$\left(\frac{1}{2}x^2-4y^2\right)\left(\frac{1}{2}x^2-4y^2\right)$

5.

Factor the following trinomial:

x^2-10x+24

a)

$\left(x+6\right)\left(x-4\right)$

b)

$\left(x-6\right)\left(x+4\right)$

c)

$\left(x-6\right)\left(x-4\right)$

d)

$\left(x+6\right)\left(x+4\right)$

6.

Factor the following trinomial:

2x^2+7x-15

a)

$\left(2x-3\right)\left(x+5\right)$

b)

$\left(2x+3\right)\left(x-5\right)$

c)

$\left(2x-5\right)\left(x+3\right)$

d)

$\left(2x+5\right)\left(x-3\right)$

7.

Factor completely:

z^4-z^2

a)

$z\left(z+1\right)\left(z-1\right)$

b)

$z^2\left(z+1\right)\left(z-1\right)$

c)

$\left(z^2+z\right)\left(z^2-z\right)$

d)

$\left(z-1\right)\left(z+1\right)\left(z^2+1\right)$

8.

$\left(\ m^2\ +\ 2my\ +\ y^2\ \right)=\ \left(\ m\ +\ y\ \right)\left(\ \ ?\ \right)$

a)

( m - y )

b)

( m + y )

9.

$\left(\ k\ -\ p\ \right)^{2\ }=\ \left(k\ -\ p\ \right)\left(\ ?\ \right)$

a)

( k - p )

b)

( k + p )

10.

$\left(\ 6x^2+\ 5x\ +\ 1\ \right)=\ \left(\ 2x\ +\ 1\right)\left(\ ?\ \right)$

a)

( 3x + 1)

b)

(3x - 1)

11.

$30m^2-\ 11m\ +\ 1\ =\ \left(\ 5m\ -\ 1\right)\left(\ ?\ \right)$

a)

6m - 1

b)

6m + 1

12.

$\left(5m-1\right)\left(6m_{ }-\ 1\right)=30m^2-11m\ +\ ?$

a)

-1

b)

1

13.

$9p^2-\ 4\ =\left(3p\ +\ 2\ \right)\left(\ ?\ \right)$

a)

3p - 2

b)

3p + 2

14.

Factor the Polynomial

12x³- 9x² + 4x - 3

a)

(3x² + 1) (4x - 3)

b)

(3x² - 1) (4x + 3)

c)

(4x² + 1) (3x - 3)

d)

(4x² - 1) (3x + 3)

15.

Factor Completely:

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

16.

2x³-8x²-x+4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

17.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

18.

Factor by Grouping:
7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

19.

Complete the formula
a³-b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

20.

Factor: x³+ 1

a)

(x + 1)³

b)

(x+1)(x²- x + 1)

c)

(x - 1) (x² + x - 1)

d)

(x + 1)(x² - 2x + 1)

21.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

22.

Fully Factor the Following
8x³-27

a)

(2x+3)(4x²-6x+9)

b)

(2x-3)(4x²+6x+9)

c)

(2x-3)(4x²+6x-9)

d)

(2x-3)(2x²+6x+9)

23.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

24.

Identify if the expression can be factored as sum or difference of cubes:

3x³ + 24

a)

No

b)

Yes

c)

Yes, getting GCF first

d)

It is a sum of squares

25.

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X³-343?

a)

DIFFERENCE OF TWO CUBES

b)

DIFFERENCE OF TWO SQUARES

c)

FACTORING BY GCF

d)

SUM OF TWO CUBES

26.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

27.

Which of the following is NOT a perfect square trinomial?

a)

x² – 16x + 64

b)

x² – 10x + 20

c)

x² – 28x + 196

d)

x² – 24x + 144

factoring review g8

Total questions: 27

Worksheet time: 2hrs 50mins

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