Find K if x + 1 is a factor of P(x) = Kx^2-x+2

Question

Find K if x + 1 is a factor of P(x) = Kx^2-x+2

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Thành Đạt 3 years 2021-07-31T15:26:21+00:00 1 Answers 5 views 0

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  1. Nick
    0
    2021-07-31T15:27:44+00:00
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    Answer:

    K=-3

    Step-by-step explanation:

    According to the Factor Theorem, a binomial (x – a) is a factor of a polynomial P(x) if and only if P(a) = 0.

    We have the polynomial:

    P(x)=Kx^2-x+2

    And we want to find the value of K such that (x + 1) is a factor.

    We can rewrite our factor as (x – (-1)). Thus, a = -1.

    Then in orer for (x + 1) to be a factor, P(-1) must equal 0. Hence:

    P(-1)=K(-1)^2-(-1)+2=0

    Simplify:

    K+1+2=0

    Solve for K. Hence:

    K=-3

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