# Math Help - help solve 4

1. ## 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

2. 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.

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
.