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Divide. $\newline$ $(-10a^2 + 80a) \div (a - 8)$

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Divide polynomials using long division

Full solution

Q. Divide.

\newline

(-10a^2 + 80a) \div (a - 8)

Identify dividend and divisor: Identify the dividend and divisor. $\newline$ Dividend: $-10a^2 + 80a$ $\newline$ Divisor: $a - 8$
Factor out common term: Factor out the common term in the dividend. $\newline$ $-10a(a - 8)$
Divide factored dividend: Divide the factored dividend by the divisor. $\newline$ $(-10a(a - 8)) \div (a - 8)$
Cancel common factor: Cancel out the common factor $(a - 8)$ . $\newline$ $-10a$

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