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Math Help - values of a and b

  1. #1
    rcs
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    values of a and b

    if the quotient obtained in dividing x^2 - 7x + b by x + a is x - 2, and the remainder is 5, then what are the values of a and b?


    anybody can help on this?


    thanks
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  2. #2
    Member kalyanram's Avatar
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    Re: values of a and b

    We have (x - 2)(x + a)+5 = x^2 - 7x + b. Expanding the LHS and comparing the coefficients on both sides we have a=-5, b= 15
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  3. #3
    MHF Contributor MarkFL's Avatar
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    Re: values of a and b

    We are told:

    x^2-7x+b=(x-2)(x+a)+5=x^2+(a-2)x+(5-2a)

    Now, equate coefficients to get two equations, from which you may determine a and b.
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