Question

Use synthetic division to solve (2x³ 4x² - 35 x 15) / (x-3). what is the quotient?

a. 2x²+10x-5
b. 2x²+10x+5
c. 2x²-2x-5
d. 2x²-2x+5

Answer 1

To solve the given problem using synthetic division, the quotient is 2x² + 10x - 5.

Step-by-step explanation:

To solve the given problem using synthetic division, we set up the division like this:

3 | 2x³ + 4x² - 35x + 15

First, we bring down the coefficient of the highest power term, which is 2. Then, we multiply 3 by 2 and add it to 4 to get 10. We continue this process until we have the remainder, which is the constant term.

The quotient is 2x² + 10x - 5.