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x+a is a factor therefore x+a =0
x= -a
f(-a) = a^2 - a - 6 = 0. (1)
g(-a) = a^2 - 3a - 18 = 0. (2)
subracting (1) from(2)
a^2 - 3a - 18 - a^2 + a + 6 = 0
- 2a - 12 = 0
a = - 6
x= -a
f(-a) = a^2 - a - 6 = 0. (1)
g(-a) = a^2 - 3a - 18 = 0. (2)
subracting (1) from(2)
a^2 - 3a - 18 - a^2 + a + 6 = 0
- 2a - 12 = 0
a = - 6
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