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