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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=