Question

9. Ifx2-X-6 and.x² + 3x - 18 have a common factor (x - a) then find the value of a.​

Answer 1

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Answer 2

Answer:

x-a=0

x=a

a2-a-6=0

a2-3a+2a-6=0

a(a-3)+2(a-3)=0

(a-3)(a+2)=0

a=3

a2+3a-18

a2+6a-3a-18=0

a(a+6)-3(a+6)=0

(a+6)(a-3)=0

a=3

thus value of a=3 because other are in negative ex:if we will take a+2=0then a=-2 and a+6=0then a=-6 so the value of a =3 is the right answer