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brilliants [131]
2 years ago
11

Factor: 10x^3-35x^2-12x+42 I'll give brainliest :) but please show all work.

Mathematics
2 answers:
8_murik_8 [283]2 years ago
6 0

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)

alexandr402 [8]2 years ago
5 0

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)

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