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Divide. $\newline$ $(4g + 36) \div (g + 9)$

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Divide polynomials using long division

Full solution

Q. Divide.

\newline

(4g + 36) \div (g + 9)

Recognize common factor: Recognize that $(4g + 36)$ and $(g + 9)$ have a common factor.
Factor out common factor: Factor out the common factor of $4$ from $(4g + 36)$ to get $4(g + 9)$ .
Write division as fraction: Write the division as a fraction: $(4(g + 9)) \div (g + 9)$ .
Cancel common term: Cancel out the common $(g + 9)$ term from the numerator and the denominator.
Result of division: The result of the division is $4$ , since everything else cancels out.

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