Free Printable Factoring 4-Term Polynomials

1.

Factor the Following 4-Term Polynomial:
$56m^3+21m^2+8m+3$

a)

$(7m^2+1)(8m+3)$

b)

$(7m^2+1)(8m-1)$

c)

$(7m^2+3)(8m-1)$

d)

$\left(7m^2+3)(8m+1)\right)$

2.

Factor the Following 4-Term Polynomial:
$56x^3-64x^2+35x-40$

a)

$(8x^2-5)(7x-8)$

b)

$8(8x^2-5)(x-1)(x+1)$

c)

$(8x^2+5)(7x-8)$

d)

$8(x-1)(x+1)(7x+5)$

3.

Factor the Following 4-Term Polynomial:
$3n^3+4n^2-21n-28$

a)

$(n^2+7)(n^2+4)$

b)

$(n^2-7)(3n+4)$

c)

$(n^2+7)(n-2)(n+2)$

d)

$(n^2-7)(n-2)(n+2)$

4.

Factor the Following 4-Term Polynomial:
$3m^3-m^2+12m-4$

a)

$(m-1)(m+1)(3m-4)$

b)

$(m^2+4)(3m+1)$

c)

$(m-2)(m+2)(3m+4)$

d)

$(m^2+4)(3m-1)$

5.

Factor the Following 4-Term Polynomial:
$5n^3+3n^2-25n-15$

a)

$5(n^2-5)(n-1)$

b)

$(n^2+5)(5n-3)$

c)

$(n^2-5)(5n+3)$

d)

$(n^2+5)(5n+3)$

6.

Factor the Following 4-Term Polynomial:
$49a^3+42a^2-42a-36$

a)

$(7a^2+6)(7a+6)$

b)

$(7a^2-6)(7a+6)$

c)

$(7a-6)(7a^2-6)$

d)

$(7a^2+6)^2$

7.

Factor the Following 4-Term Polynomial:
$20n^3-4n^2+5n-1$

a)

$(2n-1)(2n+1)(5n-1)$

b)

$(5n+1)(2n-1)(2n+1)$

c)

$(4n^2+1)(5n+1)$

d)

$(4n^2+1)(5n-1)$

8.

Factor the Following 4-Term Polynomial:
$35x^3-15x^2-14x+6$

a)

$(5x^2-2)(7x-3)$

b)

$[5x^2-2)(7x-2)$

c)

$(7x-2)(5x^2+3)$

d)

$(7x-2)(5x^2-3)$

9.

Factor the Following 4-Term Polynomial:
$15n^3-9n^2+120n-72$

a)

$(n^2+8)(5n-3)$

b)

$3(n^2+8)(5n-3)$

c)

$3(n^2-3)(5n-8)$

d)

$3(n^2+8)(n^2+3)$

10.

Factor the Following 4-Term Polynomial:
$98a^3+42a^2+49a+21$

a)

$7(2a^2+1)(7a+3)$

b)

$(7a+1)(2a^2+3)$

c)

$(2a^2+3)(7a-1)$

d)

$(2a^2+1)(7a-3)$

11.

Factor the Following 4-Term Polynomial:
$6x^3-12x^2+21x-42$

a)

$6(2x^2+7)(x-1)(x+1)$

b)

$(2x^2+7)(x-2)$

c)

$3(2x^2+7)(x-2)$

d)

$2(x+7)(x-1)(x+1)$

12.

Factor the Following 4-Term Polynomial:
$392n^3+343n^2+448n+392$

a)

$7(7n^2-8)(8n+7)$

b)

$(7n^2+8)(8n-7)$

c)

$392(n^2+1)(n-1)$

d)

$7(7n^2+8)(8n+7)$

Factoring 4-Term Polynomials

Total questions: 12

Worksheet time: 6mins

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