Quiz about Factoring Patterns

Question 1

The factors of 9x³ - x are:

Accepted Answer

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

Answer

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

Answer

x(3x - 1)(3x - 1)

Answer

(3x² - 1)(3x + 1)

Question 2

The factors of 1 - 1/x² are:

Accepted Answer

(1 - 1/x)(1 + 1/x)

Answer

(1 - x)(1 + x)

Answer

(1 - 1/x)(1 - 1/x)

Answer

(1 - 1/x)²

Question 3

Factor completely a⁸ - b⁸ :

Accepted Answer

(a² + b²)(a⁴ + b⁴)(a - b)(a + b)

Answer

(a⁴ - b⁴)(a⁴ + b⁴)

Answer

(a² + b²)(a² + b²)(a² - b²)(a - b)(a + b)

Answer

(a² + b²)(a² + b²)(a⁴ - b⁴)

Question 4

The factoring pattern for a³ + b³ is:

Accepted Answer

(a + b)(a² - ab + b²)

Answer

(a - b)(a² - ab + b²)

Answer

(a - b)(a² + ab + b²)

Answer

(a - b)(a² - 2ab + b²)

Question 5

The factors of 27x³ + 8 are:

Accepted Answer

(3x + 2)(9x² - 6x + 4)

Answer

(3x - 2)(9x² - 6x + 4)

Answer

(3x + 2)(9x² + 6x + 4)

Answer

(3x + 2)(9x² + 6x - 4)

Question 6

The factors of (x - y)³ + 64z³ are:

Accepted Answer

[(x - y) + 4z][(x - y)² - 4z(x - y) + 16z²]

Answer

[(x - y)² + 4z][(x - y) + 4z]

Answer

[(x - y) + 8z][(x - y)² + 8z(x - y) - 16z²]

Answer

[(x - y) - 8z][(x - y)² + 4z(x - y) - 16z²]

Question 7

Factor completely.

Accepted Answer

(2y - 3)(2y + 3)

Answer

4(y2 - 9)

Answer

(2y - 3)(2y - 3)

Answer

It is completely factored

Question 8

The first term in this binomial is a perfect square.

Accepted Answer

True

Answer

False

Question 9

What are the factors of this binomial?

Accepted Answer

(m - 4n)(m + 4n)9

Answer

3(m - 36n)(m - 3)

Answer

3(m - 48n)²

Answer

(m - 4)(m + 4)(m - 9)

Question 10

These factors belong to which polynomial?

Accepted Answer

C) Factor 3

Answer

A) Factor 1

Answer

B) Factor 2

Answer

D) Factor 4

Factoring Patterns

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