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    Could somebody please explain the remainder theorem from C3 Chapter 1 to me please?
    As in I get that you have
    F(x)=Q(x) x divisor + remainder
    and I know how to work out what Q(x), but I'm not sure how you're supposed to know what the remainder is...any help would be appreciated
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    (Original post by 29Bilal96)
    Could somebody please explain the remainder theorem from C3 Chapter 1 to me please?
    As in I get that you have
    F(x)=Q(x) x divisor + remainder
    and I know how to work out what Q(x), but I'm not sure how you're supposed to know what the remainder is...any help would be appreciated
    \frac{8}{3} = 2 + \frac{2}{3}

    \Rightarrow 8 = 2 \times 3 + 2


    \displaystyle \frac{x^3+2}{x+1} = (x^2-x+1) + \frac{1}{x+1}

    \displaystyle \Rightarrow x^3+2 = (x^2-x+1)(x+1) + 1


    Can you see how the remainder theorem is linked to algebraic division that you did in C2?
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    Oops dw, found the answer in another thread
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    (Original post by notnek)
    \frac{8}{3} = 2 + \frac{2}{3}

    \Rightarrow 8 = 2 \times 3 + 2


    \displaystyle \frac{x^3+2}{x+1} = (x^2-x+1) + \frac{1}{x+1}

    \displaystyle \Rightarrow x^3+2 = (x^2-x+1)(x+1) + 1


    Can you see how the remainder theorem is linked to algebraic division that you did in C2?
    thanks i get it now, i was just unsure about what form the remainder should be, but i think it should always be order one less than the divisor
 
 
 
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