Question

Factor: 10x^3-35x^2-12x+42

I'll give brainliest :) but please show all work.

Answer 1

Answer:

$\left(2x-7\right)\left(5x^2-6\right)$

Explanation:

$\hookrightarrow\sf 10x^3-35x^2-12x+42$

using associative property, separate

$\hookrightarrow\sf \left(10x^3-35x^2\right)+\left(-12x+42\right)$

take common term, factorise

$\hookrightarrow\sf 5x^2\left(2x-7\right)-6\left(2x-7\right)$

final answer

$\hookrightarrow\sf \left(2x-7\right)\left(5x^2-6\right)$

Answer 2

Answer:

$(5x^2-6)(2x-7)$

Step-by-step explanation:

$10x^3-35x^2-12x+42$

Rewrite:

$\implies (10x^3-35x^2)-(12x-42)$

Factor parentheses:

$\implies 5x^2(2x-7)-6(2x-7)$

Factor out common term $2x-7$:

$\implies (5x^2-6)(2x-7)$