Question

if x²-x-6andx²+3x-18 have a common factor (x-a) then find the value of a​

Answer 1

Step-by-step explanation:

x 2-x-6=x2-3x+2x-6

= x(x−3)+2(x−3)

=(x+2)(x−3) .......(1)

x2 +3x−18=x2+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