Question

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Which of the following is a factor of 5x3 - 135?

Answer 1

Answer: If the question is asking to find the factor of 5x^3-135 then the answer is:
5(x-3)(x^2+3x+9)

Explanation:

First, factor out the common term (x^3-27)

5(x^3-27)

Then, factor (x^3-27)

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

3^2 = 9

5(x-3)(x^2+3x+9) is the answer.

Answer 2

`5 (x - 3)( {x}^(2) + 3x + 9)`

Explanation:

`5 {x}^(3) - 135 \\ \\ = 5 \{ {x}^(3) - 27 \}\\ \\ = 5 \{ {x}^(3) - {(3)}^(3) \}\\ \\ = 5 (x - 3)( {(x)}^(2) + (x)(3) + {(3)}^(2) )\\ \\ = 5 (x - 3)( {x}^(2) + 3x + 9)`