Question

(9v² - v - 13) ÷ (v + 1)
options:

1. 9v - 11, r - 8
2. 9v - 10, r - 3
3. 9v - 13, r - 1
4. 9 - 10, r - 1

Explanation:

Step1: Divide leading terms

$\frac{9v^2}{v} = 9v$

Step2: Multiply divisor by result

$9v \times (v+1) = 9v^2 + 9v$

Step3: Subtract from dividend

$(9v^2 - v - 13) - (9v^2 + 9v) = -10v -13$

Step4: Divide new leading terms

$\frac{-10v}{v} = -10$

Step5: Multiply divisor by result

$-10 \times (v+1) = -10v -10$

Step6: Subtract to find remainder

$(-10v -13) - (-10v -10) = -3$

Answer:

$9v-10$, R $-3$