# Find the remainder when x^3–x^2+ 1 is divided by 2x + 1. A. -11 B. 5/8 C.7/8 D.9/8 E. 5

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jeew-m | Certified Educator

Using remainder theorem when f(x) is divided by (2x+1) the remainder is given when;

`2x+1= 0`

`x = -1/2`

Remainder

`= f(-1/2) `

`= (-1/2)^3 - (1/2)^2 + 1`

`= -1/8 - 1/4+ 1`

`= 5/8`

*So the remainder is 5/8. Correct answer is B.*

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