Question

If x²-x-6 andx+3x-18 have a common
factor (x-a) then find the value of a.​

Answer 1

Answer:

x

2

−x−6=x

2

−3x+2x−6

=x(x−3)+2(x−3)

=(x+2)(x−3) .......(1)

x

2

+3x−18=x

2

+6x−3x−18

=x(x+6)−3(x+6)

=(x+6)(x−3) ........(2)

Comparing (1) and (2) the common factor is (x−3) where a=3

∴a=3