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Math Help - Dividing Polynomials

  1. #1
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    Dividing Polynomials

    Please help, i am confused over this, as you can see the exponent on the first term is 45,

    Find the remainder when 3x^45+4x^8-5x^3+2 is divided by x+1
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  2. #2
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    Quote Originally Posted by nuckers View Post
    Please help, i am confused over this, as you can see the exponent on the first term is 45,

    Find the remainder when 3x^45+4x^8-5x^3+2 is divided by x+1
    The Remainder Theorem
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  3. #3
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    so i get b=(-1)
    so when i insert -1 into the equation i end up with an answer of 0. So i get no remainder then, is that right?
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  4. #4
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    Quote Originally Posted by nuckers View Post
    so i get b=(-1)
    so when i insert -1 into the equation i end up with an answer of 0. So i get no remainder then, is that right?
    try again ...

    3(-1)^{45} + 4(-1)^8 - 5(-1)^3 + 2
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  5. #5
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    -3+4+5+2 = remainder 8
    Thanks for your help, i just got so confused over the high exponent, i was thinking i had to use synthetic division, and add a bunch of zero's
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