Thread: help

f ( x ) = 2x^3+3x^2-4x+2

a) find the remainder when f ( x ) is divided by (x-1)

b) Hence express f ( x ) in the form f ( x ) = (x-1)q( x ) + R, where q (x ) is a quadratic polynomial, and R is a constant.

Originally Posted by x-disturbed-x

f ( x ) = 2x^3+3x^2-4x+2

a) find the remainder when f ( x ) is divided by (x-1)

b) Hence express f ( x ) in the form f ( x ) = (x-1)q( x ) + R, where q (x ) is a quadratic polynomial, and R is a constant.

a) Put x=1 and you will get remainder, which in this case is f(1) = 3.

b) Remainder R is equal 3 (from a)) , and you will have to divide 2x^3+3x^2-4x+2 with (x-1). Do you know how to do that?

yeah, i get 2x^2+5x+1 which won't factorise...i've tried it so many times. please help

Originally Posted by x-disturbed-x

yeah, i get 2x^2+5x+1 which won't factorise...i've tried it so many times. please help

Yes, that's ok, but you have a remainder R=3 which you have to add.
So it will be: