Question

is a and 6) It x+a is a common factor of (x) =x^2+x-6 g(x)= x²4 31-10 the find the value of a​

Answer 1

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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