Quiz about Factoring Sums and Differences of Cubes

Question 1

Factor: 8x³ - 1

Accepted Answer

(2x - 1)(4x² + 2x + 1)

Answer

(2x + 1)(4x² - 2x + 1)

Answer

(2x - 1)(4x² - 2x - 1)

Answer

(2x + 1)(4x² +2x + 1)

Question 2

Factor: 27x³ + 8

Accepted Answer

(3x + 2)(9x² - 6x + 4)

Answer

(9x + 2)(3x² + 18x + 4)

Answer

(3x²+4)(9x + 2)

Answer

(27x + 8)(x² - 216x + 64)

Question 3

Fully Factor the Following
216x³+125

Accepted Answer

(6x+5)(36x²-30x+25)

Answer

6(x+5)3

Answer

(6x+5)3

Answer

(6x+5)(6x²-30x+25)

Question 4

64-27a3

Accepted Answer

(4-3a)(9a²+12a+16)

Answer

(3a-4)(3a²+12a+16)

Answer

(4-3a)(3a²+12a+16)

Answer

(4-3a)3

Question 5

Fully Factor the Following
8x³-27

Accepted Answer

(2x-3)(4x²+6x+9)

Answer

(2x+3)(4x²-6x+9)

Answer

(2x-3)(4x²+6x-9)

Answer

(2x-3)(2x²+6x+9)

Question 6

Factor this difference of cubes:
x³ - 343

Accepted Answer

(x - 7) (x² + 7x + 49)

Answer

(x + 7) (x² - 7x + 49)

Answer

(x² + 1) (x - 343)

Answer

(x² - 343) (x + 1)

Question 7

Which number is both a perfect square and a perfect cube?

Accepted Answer

64

Answer

27

Answer

81

Answer

16

Question 8

Factor: x³+ 1

Accepted Answer

(x+1)(x²- x + 1)

Answer

(x + 1)3

Answer

(x - 1) (x² + x - 1)

Answer

(x + 1)(x² - 2x + 1)

Question 9

Identify if the expression can be factored as sum or difference of cubes:

3x³ + 24

Accepted Answer

Yes, getting GCF first

Answer

No

Answer

Yes

Answer

It is a sum of squares

Question 10

Factor this sum of cubes:

2x³ + 128

Accepted Answer

2(x + 4)(x² - 4x + 16)

Answer

2(x³ + 64)

Answer

(x + 4)(x² - 4x + 16)

Answer

2(x - 4)(x² + 4x + 16)

Factoring Sums and Differences of Cubes

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