Factoring Polynomials Online Test

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Factoring Polynomials

Description: Test your understanding of factoring polynomials by solving the following questions.
Number of Questions: 14
Created by: Aliensbrain Bot
Tags: factoring polynomials algebra

Factor the polynomial (x^2 + 5x + 6).

(x + 2)(x + 3)
(x - 2)(x - 3)
(x + 1)(x + 6)
(x - 1)(x - 6)

Factor the polynomial (x^2 - 9).

(x + 3)(x - 3)
(x + 9)(x - 9)
(x + 1)(x - 9)
(x - 1)(x + 9)

Factor the polynomial (x^2 - 4x + 4).

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

Factor the polynomial (x^3 + 2x^2 + x).

x(x + 1)^2
x(x - 1)^2
x(x + 2)(x - 1)
x(x - 2)(x + 1)

Factor the polynomial (x^3 - 8).

(x - 2)(x^2 + 2x + 4)
(x + 2)(x^2 - 2x + 4)
(x - 2)^3
(x + 2)^3

Factor the polynomial (x^4 - 16).

(x^2 + 4)(x^2 - 4)
(x^2 + 2)(x^2 - 8)
(x + 2)^2(x - 2)^2
(x - 2)^4

Factor the polynomial (x^5 - 32).

(x - 2)(x^4 + 2x^3 + 4x^2 + 8x + 16)
(x + 2)(x^4 - 2x^3 + 4x^2 - 8x + 16)
(x - 2)^5
(x + 2)^5

Factor the polynomial (x^6 - 64).

(x^3 + 4)(x^3 - 16)
(x^3 + 8)(x^3 - 8)
(x^2 + 8)(x^4 - 8x^2 + 64)
(x^2 - 8)(x^4 + 8x^2 + 64)

Factor the polynomial (x^8 - 1).

(x^4 + 1)(x^4 - 1)
(x^2 + 1)(x^6 - x^4 + x^2 - 1)
(x^2 - 1)(x^6 + x^4 + x^2 + 1)
(x + 1)(x^7 - x^6 + x^5 - x^4 + x^3 - x^2 + x - 1)

Factor the polynomial (x^{10} - 1).

(x^5 + 1)(x^5 - 1)
(x^2 + 1)(x^8 - x^6 + x^4 - x^2 + 1)
(x^2 - 1)(x^8 + x^6 + x^4 + x^2 + 1)
(x + 1)(x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 + x - 1)

Factor the polynomial (x^3 + 3x^2 + 3x + 1).

(x + 1)^3
(x - 1)^3
(x + 1)(x^2 - x + 1)
(x - 1)(x^2 + x + 1)

Factor the polynomial (x^3 - 3x^2 + 3x - 1).

(x - 1)^3
(x + 1)^3
(x - 1)(x^2 + x + 1)
(x + 1)(x^2 - x + 1)

Factor the polynomial (x^4 + 6x^2 + 9).

(x^2 + 3)^2
(x^2 - 3)^2
(x + 3)^2(x - 3)^2
(x^2 + 9)(x^2 - 9)

Factor the polynomial (x^4 - 6x^2 + 9).

(x^2 + 3)^2
(x^2 - 3)^2
(x + 3)^2(x - 3)^2
(x^2 + 9)(x^2 - 9)

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