Question

Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.

What mistake did Lorie make?

A. She added an extra term to the dividend.

B. She combined the constants incorrectly in the last step.

C. The second term in the quotient should be 7.

D. The last term in the quotient has an incorrect denominator.

Answer 1

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

           - (x³ +   x²  -  x)

                      5x² + x + 5

                    -(5x² + 5x - 5)

                             -4x + 10

Result : $x+5+\frac{-4x+10}{(x^{2}+x-1)}$

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.