Question

If X^2-x-^6 and x^2+3x-18 have a common factor x-a find the value a

Answer 1

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

now,
x² +3x -18
=x² +6x -3x -18
=x(x + 6) -3(x + 6)
=(x -3)(x + 6)

now you see (x -3) is common factor of given polynomials .
so a = 3

Answer 2

Answer:

Step-by-step explanation:

x² -x -6

=x² -3x +2x -6

=x(x -3) + 2(x -3)

=(x +2)(x -3)

now,

x² +3x -18

=x² +6x -3x -18

=x(x + 6) -3(x + 6)

=(x -3)(x + 6)

now you see (x -3) is common factor of given polynomials .

so a = 3