solve the following problem?

if (x-2) is a factor of x^3 +ax^2 + bx + 16 and b= 4a then find the values of a and b.

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  • david
    Lv 7
    7 years ago

    if (x-2) is a factor of x^3 +ax^2 + bx + 16 and b= 4a then find the values of a and b.

    f(2) = 8 +4a + 2b + 16 = 0

    4a + 2b = -24 ... sub b = 4a

    4a + 8a = -24

    a = -2

    b = -8

  • ?
    Lv 7
    7 years ago

    if (x - 2) is a factor, then f(2) = 0

    f(2) = (2)^3 + a(2)^2 + 4a(2) + 16 = 0

    8 + 4a + 8a + 16 = 0

    12a = - 24

    a = - 2

    b = - 8

    check...I did

    Σ

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