Question

Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2.

a) –49
b) –7
c) 11
d) 59

Answer 1

The answer to this equation is -49. You want to use synthetic division and then use the remainder theorem to find the zeros.

Answer 2

Option a) is correct that is -49.

Explanation:

We have been given the two functions in which one of them is dividend and the other one is divisor

`f(x)=5x^3+7x+5` when divided by x+2

You can see the long division to find the remainder in the attachment.

First step we do is to choose the quotient so as to cancel the first term

And proceed till you get the degree of divisor less than dividend.

Hence, the remainder we will get is -49

Therefore, option a) is correct.