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Math Help - Find coefficients

  1. #1
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    Find coefficients

    My problem is:

    If 3x^2 - 2x + 1 = a(x-1)^2 + b(x-1) + c , find the value of a^2 + b^2 - c^2.

    The answer is 21; how would you get that? Thanks.
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  2. #2
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    Quote Originally Posted by Averee View Post
    My problem is:

    If 3x^2 - 2x + 1 = a(x-1)^2 + b(x-1) + c , find the value of a^2 + b^2 - c^2.

    The answer is 21; how would you get that? Thanks.
    a(x-1)^2+b(x-1)+c

    a(x^2-2x+1)+b(x-1)+c

    ax^2-2ax+a+bx-b+c

    ax^2+(-2a+b)x+(a+c)

    Thus,
    a=3 and -2a+b=-2 and a+c=1

    Find a,b,c
    Then you can find your answer.
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  3. #3
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    Thank you.
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