# help solve 4

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• May 20th 2010, 10:30 PM
andy69
help solve 4
let p(x)=(x+1)(x-3) Q(x)+a(x+1)+b where Q(X) is a polynomial and a and b are real numbers when p(x) is divided by (x+1) the remainder is -11
when p(x) is divided by (x-3) the remainder is 1
i)what it the value of b
ii)what is the remainder when p(x) is divided by (x+1)(x-3)

with working out please
• May 21st 2010, 06:00 AM
tonio
Quote:

Originally Posted by andy69
let p(x)=(x+1)(x-3) Q(x)+a(x+1)+b where Q(X) is a polynomial and a and b are real numbers when p(x) is divided by (x+1) the remainder is -11

And this means that $p(-1)=-11$

when p(x) is divided by (x-3) the remainder is 1

And this means $p(3)=1$ . Now just substitute and evaluate directly the values you want. (Nod)

Tonio

i)what it the value of b
ii)what is the remainder when p(x) is divided by (x+1)(x-3)

with working out please

.