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.

Printable View

- Jan 21st 2006, 02:23 PMx-disturbed-xhelp
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. - Jan 21st 2006, 02:36 PMDenMac21Quote:

Originally Posted by**x-disturbed-x**

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? - Jan 21st 2006, 02:42 PMx-disturbed-x
yeah, i get 2x^2+5x+1 which won't factorise...i've tried it so many times. please help :confused:

- Jan 21st 2006, 02:51 PMDenMac21Quote:

Originally Posted by**x-disturbed-x**

So it will be:

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