Question

9. If x2 - x - 6 and x² + 3x – 18 have a common factor (x - a) then find the value of a
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Answer 1

Answer:

x2–x–6=x2+3x–18

g(x)=x–a

let g(x)=0

x–a=0

x=a

a2–a–6=a2+3a–18

–a–3a=–18+6

–4a= –12

a=3