The polynomial function g(x) = 3x3 + 11x2 – 14x – 40 has a known factor of (3x + 5). Rewrite g(x) as theproduct of linear factors.

asked Dec 23, 2023 71.6k views

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3 votes

Given that

$\begin{gathered} g(x)=3x^3+11x^2-14x-40 \\ =3x^3+5x^2+6x^2+10x-24x-40 \\ =x^2(3x+5)+2x(3x+5)-8(3x+5) \\ =(3x+5)(x+4)(x-2) \end{gathered}$

Jdmichal answered Dec 29, 2023

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