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    Question

    If (x+a) is the H.C.F of 2x²+5x–12 and x²+x–12

    then find the value of a.
    A –3 Correct Answer Incorrect Answer
    B –2 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    2x²+5x–12 2x²+8x-3x–12 2x(x+4)-3(x+4) (2x-3) (x+4)… (1) x²+x–12 x²+4x-3x–12 x(x+4)-3(x+4) (x-3) (x+4)… (2) HCF of Equation (1) and (2). HCF=x+4 ATQ- X+ a =x+4 a =4.

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