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$Use synthetic division to find the quotient and remainder when -x^(')+4x^('')-8 is divided by x-2 by completing the parts below. (a) Complete this synthetic division table. 2) {:[-1quad4,0,-8]:} ◻◻◻ ◻◻◻◻ (b) Write your answer in the following form: Quotient +(" Remainder ")/(x-2). (-x^(3)+4x^(2)-8)/(x-2)=◻+(◻)/(x-2) Continue$

Use synthetic division to find the quotient and remainder when $-x^{\prime}+4 x^{\prime \prime}-8$ is divided by $x-2$ by completing the parts below. $\newline$ (a) Complete this synthetic division table. $\newline$ $2$ ) $\begin{array}{llll}-1 \quad 4 & 0 & -8\end{array}$ $\newline$ $\square \square \square$ $\newline$ $\square \square \square \square$ $\newline$ (b) Write your answer in the following form: Quotient $+\frac{\text { Remainder }}{x-2}$ . $\newline$ $\frac{-x^{3}+4 x^{2}-8}{x-2}=\square+\frac{\square}{x-2}$ $\newline$ Continue

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Math Problems

Algebra 1

Transformations of quadratic functions

Full solution

Q. Use synthetic division to find the quotient and remainder when

-x^{\prime}+4 x^{\prime \prime}-8

is divided by

x-2

by completing the parts below.

\newline

(a) Complete this synthetic division table.

\newline

2

)

\begin{array}{llll}-1 \quad 4 & 0 & -8\end{array}

\newline

\square \square \square

\newline

\square \square \square \square

\newline

(b) Write your answer in the following form: Quotient

+\frac{\text { Remainder }}{x-2}

\newline

\frac{-x^{3}+4 x^{2}-8}{x-2}=\square+\frac{\square}{x-2}

\newline

Continue

Set up synthetic division: Set up the synthetic division table with the divisor root and coefficients of the dividend. $\newline$ Divisor: $x - 2 \rightarrow$ root is $2$ . $\newline$ Dividend: $-x^3 + 4x^2 + 0x - 8 \rightarrow$ coefficients are $-1, 4, 0, -8$ .
Begin synthetic division: Begin synthetic division. $\newline$ Bring down the first coefficient: $-1$ . $\newline$ Multiply the divisor root $(2)$ by the first number in the bottom row $(-1)$ to get $-2$ , and add this to the second coefficient $(4)$ to get $2$ .
Continue synthetic division: Continue synthetic division. Multiply the divisor root $2$ by the new number in the bottom row $2$ to get $4$ , and add this to the third coefficient $0$ to get $4$ .
Finish synthetic division: Finish synthetic division. Multiply the divisor root $2$ by the new number in the bottom row $4$ to get $8$ , and add this to the fourth coefficient $-8$ to get $0$ .
Write result of division: Write the result of the synthetic division. $\newline$ The numbers in the bottom row are the coefficients of the quotient and the remainder. $\newline$ Quotient: $-x^2 + 2x + 4$ $\newline$ Remainder: $0$ $\newline$ $(-x^3 + 4x^2 - 8) / (x - 2) = -x^2 + 2x + 4 + (0) / (x - 2)$