Math Help - help

1. 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.

2. 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?

$2x^3+3x^2-4x+2=(x-1)(2x^2+5x+1)+3$