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

2x2 - 2x - 29 + 102

X+3

2x2-2x-29 + 102

2x + 10*² - 5x

2x + 10x-5

The question I feel is as below: (2x3 + 4x2 - 35x+15) - (x-3).

And the answer is 2x^2 + 10x-5

Explanation:

So following synthetic division,

3 2 4 - 35 15

6 30 - 15

2 10 - 5 0

And hence, the answer comes out to be 2x^2 + 10x - 5, and this is the last option. Hence, the last option is certainly the quotient and the correct answer. You should know that synthetic division is being used to perform very long divisions, and one like the above.