Homework Help

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

user profile pic

christiano-cr7 | (Level 1) Salutatorian

Posted September 5, 2013 at 1:59 AM via web

dislike 1 like

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

1 Answer | Add Yours

user profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted September 5, 2013 at 2:04 AM (Answer #1)

dislike 0 like

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.

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes