Divide. (-5c^(2)-45 c)÷(c+9)

Write Division Problem: Write down the division problem to be solved. We need to divide the polynomial (-5c^2 - 45c) by the monomial (c + 9).Factor Out Common Factor: Factor out the common factor from the numerator. The common factor in the terms -5c^2 and -45c is -5c. Factoring -5c out of the numerator gives us: -5c(c + 9).Divide Factored Numerator: Divide the factored numerator by the denominator. Now we divide -5c(c + 9) by (c + 9). Since (c + 9) is a common factor in the numerator and the denominator, they cancel each other out, leaving us with: -5c.Write Final Answer: Write down the final answer. The result of the division (-5c^2 - 45c) by (c + 9) is -5c.

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

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Algebra 2

Divide polynomials using long division

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Q. Divide.

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

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Write Division Problem: Write down the division problem to be solved. $\newline$ We need to divide the polynomial $(-5c^2 - 45c)$ by the monomial $(c + 9)$ .
Factor Out Common Factor: Factor out the common factor from the numerator. $\newline$ The common factor in the terms $-5c^2$ and $-45c$ is $-5c$ . Factoring $-5c$ out of the numerator gives us: $\newline$ $-5c(c + 9)$ .
Divide Factored Numerator: Divide the factored numerator by the denominator. $\newline$ Now we divide $-5c(c + 9)$ by $(c + 9)$ . Since $(c + 9)$ is a common factor in the numerator and the denominator, they cancel each other out, leaving us with: $\newline$ $-5c$ .
Write Final Answer: Write down the final answer. $\newline$ The result of the division $(-5c^2 - 45c)$ by $(c + 9)$ is $-5c$ .