Divide. (-8x^2 + 48x) ÷ (x - 6) ______

Identify dividend and divisor: Identify the dividend and the divisor. Dividend: -8x^2 + 48x Divisor: x - 6Set up division fraction: Set up the division as a fraction. (-8x^2 + 48x) ÷ (x - 6) = (-8x^2 + 48x) / (x - 6)Perform polynomial division: Perform polynomial long division or synthetic division. First, divide -8x^2 by x to get -8x.Multiply and subtract: Multiply -8x by (x - 6) and subtract from the dividend. -8x * x = -8x^2 -8x * -6 = 48x Subtracting we get 0, since -8x^2 - (-8x^2) = 0 and 48x - 48x = 0.Check for remainder: Since there is no remainder, the result of the division is -8x.

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Divide. $\newline$ $(-8x^2 + 48x) \div (x - 6)$

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Algebra 2

Divide polynomials using long division

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Q. Divide.

\newline

(-8x^2 + 48x) \div (x - 6)

Identify dividend and divisor: Identify the dividend and the divisor. $\newline$ Dividend: $-8x^2 + 48x$ $\newline$ Divisor: $x - 6$
Set up division fraction: Set up the division as a fraction. $\newline$ $(-8x^2 + 48x) \div (x - 6) = \frac{-8x^2 + 48x}{x - 6}$
Perform polynomial division: Perform polynomial long division or synthetic division. $\newline$ First, divide $-8x^2$ by $x$ to get $-8x$ .
Multiply and subtract: Multiply $-8x$ by $(x - 6)$ and subtract from the dividend. $\newline$ $-8x \times x = -8x^2$ $\newline$ $-8x \times -6 = 48x$ $\newline$ Subtracting we get $0$ , since $-8x^2 - (-8x^2) = 0$ and $48x - 48x = 0$ .
Check for remainder: Since there is no remainder, the result of the division is $-8x$ .