## Intermediate Algebra for College Students (7th Edition)

$f(-2)=-4$
The remainder theorem: If the polynomial f(x) is divided by $x-c$, then the remainder is $f(c).$ Divide $4x^{3}+5x^{2}-6x-4$ with $x+2,\qquad (c=-2)$ $\begin{array}{rrrrrrrr} \underline{-2}| &4 & 5 & -6 & -4 & & & & \\ & & -8 & 6 & 0 & & & & \\ & --& -- &-- &-- & & & & \\ &4 & -3 & 0 & -4 & & & & \end{array}$ Quotient = $4x^{2}-3x$ Remainder = $f(-2)=-4$