Question

Use synthetic division and the given factor to completely factor then polynomial function.

Answer 1

Given:

$x^3+9x+14x-24;x+6$

Find-: Factor

Sol:

$\frac{x^3+9x+14x-24}{x+6}$

Eq become.

$=(x+6)(x^2+3x-4)$

Factor is:

$x^2+3x-4$$\begin{gathered} =x^2+3x-4 \\ \\ =x^2+4x-x-4 \\ \\ =x(x+4)-1(x+4) \\ \\ =(x+4)(x-1) \end{gathered}$