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Math Help - help solve 4

  1. #1
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    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
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  2. #2
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    Quote Originally Posted by andy69 View Post
    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
    .
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