2 years ago

Factor 2x^3+3x^2-23x-12, given that x+4 is a factor

2 answers:

6 0

Hello,
$2x^3+3x^2-23x-12\\
=2x^3+8x^2-5x^2-20x-3x-12\\
=2x^2(x+4)-5x(x+4)-3(x+4)\\
=(x+4)(2x^2-5x-3)\\
=(x+4)(2x^2-6x+x-3)\\
=(x+4)[2x(x-3)+1(x+3)]\\
=(x+4)(x-3)(2x+1)$

Alex73 [517]2 years ago

5 0

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