if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b

Question

if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b

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Cherry 4 years 2021-08-28T06:07:17+00:00 1 Answers 8 views 0

Answers ( )

  1. taiduc
    0
    2021-08-28T06:08:36+00:00
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    (x + 5)(x - 4)(x + 2) =

    (x + 5) ({x}^{2} - 2x - 8) =

    {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\

    {x}^{3} + 3 {x}^{2} - 18x - 40

    _________________________________

    Compare :

    {x}^{3} + 3 {x}^{2} - 18x - 40

    {x}^{3} + a {x}^{2} - 18x + b

    Thus :

    a = 3

    and

    b = - 40

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )