Question

Find the remainder when f(x)=5x^3 −7x+5 is divided by x^2.

A) −49
B) −7
C) 11
D) 59

Answer 1

The remainder when f(x)=5x^3-7x+5 is divided by x^2 is -7x+5.

Step-by-step explanation:

To find the remainder when f(x) = 5x^3 - 7x + 5 is divided by x^2, we can use polynomial long division.

Dividing 5x^3 - 7x + 5 by x^2 gives us a quotient of 5x and a remainder of -7x + 5.

So, the remainder when f(x) is divided by x^2 is -7x + 5. Therefore, the correct answer choice is B) -7.