Free Printable Factoring Polynomials - GCF and special products

Worksheets

Factoring Polynomials - GCF and special products

Total questions: 23

Worksheet time: 3605secs

Name

Class

Date

Factor:
x²+ 7x - 30

(x + 10)(x - 7)

(x - 10)(x + 3)

(x + 10)(x + 3)

(x + 10)(x - 3)

Factor
n² + 5n - 6

(n - 2)(n - 3)

(n - 1)(n + 6)

(n + 1)(n - 6)

(n + 2)(n - 3)

Factor
a² - a - 12

(a - 4)(a + 3)

(a + 6)(a - 4)

(a - 6)(a + 4)

(a + 4)(a - 3)

What do you call a polynomial that cannot be factored?

FOIL

Simplified

Prime

Proper

What is a method of checking your work when factoring?

FOIL

asking the teacher every time

assume you're correct

division

Factor
3a² + 4a + 1

(7a-10)(a-8)

Not factorable

(3a+1)(a+1)

(3a-1)(a-1)

Factor:
2m² + 3m - 9

2(m + 3)(m - 3)

(2m - 3)²

(m + 3)(2m - 3)

(2m + 3)(m - 3)

Factor
3v² - 4v - 7

(3v-7)(v+1)

3(v-7)(v-1)

(3v+1)(v-9)

(3v+1)(v-10)

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

3(x² + 6x + 5)

(x + 5)(x + 1)

3(x + 5)(x + 1)

Prime

10.

Factor completely.
5x²-15x+10

(5x - 2)(x - 5)

5(x - 2)(x + 1)

(5x + 2)(x + 5)

5(x - 2)(x - 1)

11.

Factor Completely: 15t² - 27t - 6

3(5t +1)(t - 2)

(3t - 6)(5t + 1)

3(5t - 1)(t + 2)

(15t + 6)(1t - 6)

12.

Factor: x² + 24x + 144

(x + 12)²

(x + 9)²

(x + 15)²

(x + 13)²

13.

Factor

x² + 18x + 81

(x + 9)(x – 9)

(x + 18)²

(x + 9)²

(x + 6)²

14.

Factor: x² - 4x + 4

(x + 2)²

(x - 2)²

(x + 4)²

(x - 4)²

15.

Factor: x² - 30x + 225

(x + 15)²

(x - 15)²

(x + 25)²

(x - 25)²

16.

Factor completely.

x² - 144

( x - 12 ) ²

( x - 12 ) ( x - 12 )

( x + 12 ) ( x + 12 )

( x + 12 ) ( x - 12 )

17.

Factor completely.

y² - 196

( y - 14 ) ( y - 14 )

( y + 14 ) ( y - 14 )

( y + 13 ) ( y - 13 )

( y - 13 ) ²

18.

Factor completely.

121x² - 49

( 11x - 7 ) ²

( 11x - 7 ) ( 11x - 7 )

( 11x + 7 ) ( 11x - 7 )

( 12x + 7 ) ( 12x - 7 )

19.

Factor completely.

64x² - 49y²

( 8x + 7 ) ( 8x - 7 )

( 8x - 7y ) ( 8x - 7y )

( 8x + 7y ) ( 8x - 7y )

( 8x - 7y )²

20.

Factor.

5x²-125

5( x + 5 ) ( x - 5 )

5( x - 5 ) ( x - 5 )

5( x + 5 ) ( x + 5 )

Prime

21.

Factor:

3n²+ 30n + 75

3(n + 5)(n - 5)

3(n + 25)(n + 1)

3(n - 5)²

3(n + 5)²

22.

$121x^2-64$ is an example of _________________ .

a perfect square trinomial

a difference of squares

a prime polynomial

a confusing problem

23.

$9x^2-12x+4$ is an example of _________________ .

a perfect square trinomial

a difference of squares

a prime polynomial

a confusing problem

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Factoring Polynomials - GCF and special products

Total questions: 23

Worksheet time: 3605secs

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