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Find p and q so that (x + 2)" and "(x – ...

Find p and q so that `(x + 2)" and "(x – 1) `may be factors of the polynomial `f(x) = x^(3) + 10x^(2) + px + q`.

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Knowledge Check

  • If (x+2)and(x-1) are factors of the polynomial p(x)=x^(3)+10x^(2)+mx+n then

    A
    m = 5 , n = - 3
    B
    m = 7 , n = - 18
    C
    m = 17 , n = - 8
    D
    m = 23 , n = - 19

  • If (x + a), is a factor of the polynomials x^(2) + px + q and x^(2) + mx + n , then :

    A
    `a = (n-q)/(m-p)`
    B
    `a = (m-p)/(n-q)`
    C
    `a = (m + p)/(n + q)`
    D
    `a = (n+q)/(m+ p)`

    • Similar Questions

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    If (x + a) is a factor of two polynomials x^(2)+px+q and x^(2)+mx+n , then a is equal to

    If (px+q) is a factor of the polynomial h(x) then which one is true:

    FInd the condition that the zeroes of the polynomial f(x)=x^(3)+3px^(2)+3qx+r may be in A.P

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