Question

Factor completely. (a)3x^{3}-2x^{2}-6x+4 (b)x^{2}-7x-18

Polynomial factorization
ANSWERED
asked 2021-05-08
Factor completely.
(a)\(3x^{3}-2x^{2}-6x+4\)
(b)\(x^{2}-7x-18\)

Answers (1)

2021-05-09
Step 1
a.
Factorization,
\(3x^{3}-2x^{2}-6x+4=(3x^{3}-2x^{2})-(6x-4)\)
\(=x^{2}(3x-2)-2(3x-2)\)
\(=(x^{2}-2)(3x-2)\)
Step 2
b.
Factorization,
\(x^{2}-7x-18=x^{2}-9x+2x-18\)
=x(x-9)+2(x-9)
=(x+2)(x-9)
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