2019

Mathematics

67ca00ce0c643c71d77dee1f

if 6x³+2x²-5x+1 divides x²−x−1 , find the remainder.

A.

9x + 9

B.

2x + 6

C.

6x + 8

D.

5x - 3

Correct Answer: 9x + 9

Explanation

SOLUTION: $\begin{aligned} x^{2} - x - 1 \overset{6 x + 8}{\bar{) \begin{aligned} 6 x^{3} + 2 x^{2} - 5 x + 1 \\ \underline{6 x^{3} - 6 x^{2} - 6 x} \\ 8 x^{2} + x + 1 \\ \underline{8 x^{2} - 8 x - 8} \end{aligned}}} \\ 9 x + 9 \\ The remainder is 9 x + 9 \end{aligned}$

SOLUTION:

\begin{aligned} x^{2} - x - 1 \overset{6 x + 8}{\bar{) \begin{aligned} 6 x^{3} + 2 x^{2} - 5 x + 1 \\ \underline{6 x^{3} - 6 x^{2} - 6 x} \\ 8 x^{2} + x + 1 \\ \underline{8 x^{2} - 8 x - 8} \end{aligned}}} \\ 9 x + 9 \\ The remainder is 9 x + 9 \end{aligned}

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