Question

(07.02 MC)Factor completely 5ax² - 20x³ + 2a - 8x.O (a + 4x)(5x² + 2)O (a +4x)(5x² - 2)O (a-4x)(5x² + 2)O (a-4x)(5x² - 2)

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expression

$5ax²\:-\:20x³\:+\:2a\:-\:8x$

STEP 2: Factor the expression

$\begin{gathered} Factor\text{ }out\text{ }5x^2\text{ }from\text{ }5x^2a-20x^3 \\ 5x^2(a-4x) \\ \\ Factor\text{ }out\text{ }2\text{ }from\text{ }2a-8x \\ 2(a-4x) \end{gathered}$

STEP 3: combine the factors

$\begin{gathered} =5x^2\left(a-4x\right)+2\left(a-4x\right) \\ \mathrm{Factor\:out\:common\:term\:}a-4x \\ =\left(a-4x\right)\left(5x^2+2\right) \end{gathered}$

Hence, the factors are given as:

$\left(a-4x\right)\left(5x^2+2\right)$