Free Printable Factoring - GCF and Difference of Squares

Worksheets

Factoring - GCF and Difference of Squares

Total questions: 32

Worksheet time: 2hrs 21mins

Name

Class

Date

x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Unfactorable

x⁴- 16

( 2x - 4) ( 2x + 4)

( x² - 4) ( x² + 4)

( x² - 8) ( x² + 8)

( x - 4) ( x + 4)

x²- 225

( x + 15) ( x + 15)

Unfactorable

( x - 15) ( x + 15)

( x - 15) ( x - 15)

x⁶- 400

( x³ - 200) ( x³ + 200)

( x² + 20) ( x² + 20)

( x - 20) ( x + 20)

( x³ - 20) ( x³ + 20)

4x²- 64y²

Unfactorable

( 2x - 32y) (2 x + 32y)

( 2x - 8y) (2 x - 8y)

( 2x - 8y) (2 x + 8y)

9x²- 49y⁶

( 3x + 7y³) (3x + 7y³)

( 3x - 7y³) (3x + 7y³)

( 3x - 7y³) (3x - 7y³)

Unfactorable

x²+ 81

Unfactorable

( x - 9 ) ( x + 9 )

( x + 9 ) ( x + 9 )

( x - 9 ) ( x - 9 )

Factor the Polynomial:

121r² - 64t²

(11r + 8t)(11r - 8t)

(11r - 8t)(11r - 8t)

(11r + 8t)(11r + 8t)

Unfactorable

Fully Factor the Following
25x²-81

(5x-9)²

(5x+9)(5x-9)

25(x-9)²

(9x+5)(9x-5)

10.

Fully Factor the Following
4x²-16

(2x-4)(2x+4)

(4x-4)(4x+4)

4(x-2)²

4(x-2)(x+2)

11.

3x²- 75

3( x + 5 ) ( x - 5 )

Prime

( x + 5 ) ( x - 5 )

3( x - 5 ) ( x - 5 )

12.

Fully Factor the Following

16x²+25

Unfactorable

(4x-5)(4x+5)

(4x+5)(4x-5)

(4x+5)²

13.

Factor:
80x⁵-70x²-60x⁷

2x²(80x³-70-60x⁶)

10x²(80x⁴-70x-60x⁶)

10x²(8x³-7-6x⁶)

3x²(80x³-40-60x⁵)

14.

Factor:
2n²-8n³

2n²(n-4n²)

2n²(1-4n²)

2n³(10-8n²)

3n(1-4n)

15.

Factor:
56a³-8a

8a²(56a³-8a)

8a(7a²-1)

8a(7a³-a)

8a²(35a²-a)

16.

Factor
4b⁵+4b³+16b²

4b³(b⁴+b²+4b)

4b³(b⁴+4b+5)

4(b⁵+b³+4b²)

4b²(b³+b+4)

17.

Factor:

2n²-8n³

2n²(n-4n²)

2n²(1-4n)

2n³(10-8n²)

3n(1-4n)

18.

Factor
10x² + 15x-5

25(10x³+45x-15)

5(2x³ + 3x²-x)

x(10x³+15x-5)

5(2x²+3x-1)

19.

(4x+1) - (5x−2)

9x + 3

20x² − 3x - 2

x² + 3

-x + 3

20.

(5x+2)(x²-3x+6)

5x³- 17x²+24x +12

5x³+ 17x² - 24x +12

5x³ - 13x² + 24x +12

5x³ +13x² - 24x - 12

21.

(3x + 4y - 3z) - (2x - 6y + 7z)

x + 10y - 10z

-x +10y - 10z

x -10y - 10z

-x -10y - 10z

22.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

4x³ + 1x² – 3x + 1

2x³ + 1x² - 5x + 9

6x³ + 1x - 1x² - 3

3x⁵ +1x - 1x⁵ - 3x

23.

(5c-2)(3c²-5c+4)

15c³-31c⁴+30c²-8

15c³-19c²+10c-8

15c³-31c²+30c-8

15c³-31c²+30c+8

24.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

3x²+16x-5

3x²-14x+5

3x²-14x-5

25.

5xy(6x-y)

11x² - y²

30x² + y²

30x²y - 5xy²

11x²y + 5x²y²

26.

Mult (2x + 3)(3x + 4)

6x² + 17x + 7

6x² + 17x + 12

6x² + 8x + 12

6x² + 9x + 12

27.

(2x - 1)(x + 2)

2x² + 3x - 2

2x² - 5x - 2

2x² + 3x + 2

2x² - 5x + 2

28.

(3x + 2)(3x + 2)

6x² + 12x + 4

6x² + 6x + 4

9x² + 12x + 4

9x² + 27x + 4

29.

(x - 6)²

x² - 12x + 36

x² + 36

x²- 36

x² - 6x + 36

30.

7r³-8r²+42r-48

(r²+6)(7r+8)

(r²+6)(7r-8)

(r²+6)(r²+8)

(r²+6)(7r+6)

31.

20x³-25x²+4x-5

(5x²-5)(4x+1)

5(x²-1)(4x+5)

(5x²+1)(4x-5)

(5x²+1)(4x-1)

32.

Factor

3v² + 3v - 7v - 7

(3v-7)(v+1)

3(v-7)(v-1)

(3v+1)(v-9)

(3v+1)(v-10)

100 %

Factoring - GCF and Difference of Squares

Total questions: 32

Worksheet time: 2hrs 21mins

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