Question 1

Which mathematical statement is CORRECT?

Accepted Answer

m³ - 64 = (m - 4) (m² + 4m + 16)

Answer

m³ + 64 = (m - 4) (m² + 4m + 16)

Answer

m³ + 64 = (m - 4) (m² – 4m + 16)

Answer

m³ + 64 = (m + 4) (m² + 4m + 16)

Question 2

One of the factors of 125 - x³ is (5 - x), what is the other factor?

Accepted Answer

(25 + 5x + x²)

Answer

(25 – 5x + x²)

Answer

(25 + 5x – x²)

Answer

(25 – 5x – x²)

Question 3

Which of the following does NOT belong to the group?

Accepted Answer

y3 + 16

Answer

y3 -1

Answer

y3-2

Answer

8y3 + 27

Question 4

Choose the expression for the volume of the figure:

Accepted Answer

x3 + y3

Answer

x3 - y3

Answer

x3 + y

Answer

x - y3

Question 5

What are the factors of x³+y³?

Accepted Answer

(x + y)(x² - xy + y²)

Answer

(x - y)(x² +xy +y²)

Answer

(x + y)(x² - xy +-y²)

Answer

(x - y)(x² - xy -y²)

Question 6

Which is NOT the factor of 81m³ - 3?

Accepted Answer

(9m² – 3m + 1)

Answer

(9m² +3m + 1)

Answer

3

Answer

(3m-1)

Question 7

Which expression has the factors (2d + 5) and (4d² – 10d + 25)?

Accepted Answer

27d³ – 125

Answer

8d3 + 125

Answer

8d2 -25

Answer

27d³ + 125

Question 8

Choose the correct factors of 81 – 375b³.

Accepted Answer

3(3 – 5b)(9 + 15b +25b²)

Answer

3(3 – 5b)(9 - 15b +25b²)

Answer

2(9 – 5b)(9 + 15b +25b²)

Answer

2(3 – 5b)(6 + 15b +25b²)

Question 9

Which is the binomial factor of 256x³ - 500y³?

Accepted Answer

(4x - 5y)

Answer

(64x - 125y)

Answer

(16x - 25y)

Answer

(x - y)

Question 10

The volume of a rectangular prism is x³ + 64. Which is one of its dimensions?

Accepted Answer

(x² - 4x + 16)

Answer

(x² +4x + 16)

Answer

(x² - 4x -16)

Answer

(x² - 4x -16)

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