Polynomials

Each question carries 10 marks.

1.Find the remainder when the polynomial f(x+3) is divided by 2-x.

f(2) f(-3) f(5) f(1)

2.Find the remainder when f(x) is divided by

x+1
4-2x
3x

3.If x²-2x+1 when divided by x+p leaves the same remainder as when 3x²+x-4 is divided by x+p, find p.

2.5

1

-2.5

-1

 

4.If x-3 and x+1 are factors of 4x³-9x²+ax+b, then

	3a+b=
	a-b=
Hence	a=
	b=