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Divide x3 + 2x - 5x - 6 by (x-2)

September 3, 2026Mathematics

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Answer

x^2+4x+3

0

2 steps

You're asking about question 16 again. Here's the solution:

Set up the synthetic division.
The divisor is $(x-2)$ , so $a = 2$ . The coefficients of the dividend $x^3 + 2x^2 - 5x - 6$ are $1, 2, -5, -6$ .
$\begin{array}{c|cccc} 2 & 1 & 2 & -5 & -6 \\ & & 2 & 8 & 6 \\ \hline & 1 & 4 & 3 & 0 \\ \end{array}$
The numbers in the bottom row are the coefficients of the quotient and the remainder.
The quotient is $1x^2 + 4x + 3$ , and the remainder is 0.
The quotient is $\boxed{x^2+4x+3}$ with a remainder of $\boxed{0}$ .

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