Divide. (-5c^(2)-45 c)÷(c+9)

Set up the division: Set up the division. We are given the division problem (-5c^2 - 45c) ÷ (c + 9). To solve this, we will use polynomial long division or synthetic division.Check for simplification: Check if the division can be simplified before performing long division. We notice that -45c is divisible by c+9 when c is not equal to -9. We can factor out a common factor of -5c from the numerator to simplify the division. (-5c^2 - 45c) ÷ (c + 9) = -5c(c + 9) ÷ (c + 9)Cancel common factor: Cancel out the common factor. The (c + 9) terms cancel each other out, leaving us with the simplified result. -5c(c + 9) ÷ (c + 9) = -5c

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Divide. $\newline$ $(-5c^{2}-45c)\div(c+9)$

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Algebra 2

Divide polynomials using long division

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Q. Divide.

\newline

(-5c^{2}-45c)\div(c+9)

Set up the division: Set up the division. $\newline$ We are given the division problem $(-5c^2 - 45c) \div (c + 9)$ . To solve this, we will use polynomial long division or synthetic division.
Check for simplification: Check if the division can be simplified before performing long division. $\newline$ We notice that $-45c$ is divisible by $c+9$ when $c$ is not equal to $-9$ . We can factor out a common factor of $-5c$ from the numerator to simplify the division. $\newline$ $(-5c^2 - 45c) \div (c + 9) = -5c(c + 9) \div (c + 9)$
Cancel common factor: Cancel out the common factor. $\newline$ The $(c + 9)$ terms cancel each other out, leaving us with the simplified result. $\newline$ $-5c(c + 9) \div (c + 9) = -5c$