Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

Answer 2

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)

Step-by-step 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.