Question

divide the polynomial (3x³+2x²-1)by (x+2) using synthetic division
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Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{(3x^3+2x^2-1)\div\,(x+2)}$

$\underline{\textbf{To find:}}$

$\textsf{Quotient and remainder using synthetic division}$

$\underline{\textbf{Solution:}}$

$\textsf{We apply synthetic division to find quotient}$

$\textsf{and remainder}$

$\mathsf{\begin{array}{c|cccc}-2&3&2&0&-1\\&&&&\\&&-6&8&-16\\\cline{2-5}&3&-4&8&\boxed{-17}\end{array}}$

$\mathsf{Then,}$

$\mathsf{Quotient=3x^2-4x+8}$

$\mathsf{Remainder=-17}$

$\underline{\textbf{Find more:}}$

4x³+5x-10 ; x-3 use synthetic division and find quotient and remainder.​

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