Use long division to find the quotient below. (X^2 + 17x+72) / (x+8) A. X-9 B. X+9 C. X+7 D. X-7

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asked Dec 11, 2022 173k views

1 Answer

BFree · Answer 1 · 2022-12-16T23:26:46+0000

$\huge{\mathbb{\tt { QUESTION↓}}}$

Use long division to find the quotient below.

(X^2 + 17x+72) / (x+8)

A. X-9

B. X+9

C. X+7

D. X-7

$\huge{\mathbb{\tt {ANSWER↓}}}$

$\color{green}{B. x+9}$

$\huge{\mathbb{\tt { SOLUTION↓}}}$

$\color{black}{\tt{Factor \: x² + 17x 72 : ( x+8)(x+9)}}$

$\color{black}{\tt(x + 8)( x + 9)}$

$\color{black}{\tt{x + 8}}$

$\color{black}{\tt{cancel \: the \: common \: factor: \: x + 8}}$

$\color{red}{\tt{ = 8 + 9}}$

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