Which of the following is a factor of both x2- x-6 and x2 - 5x + 6

3 answers

x^2-x-6 = (x-3)(x+2)
x^2-5x+6 = (x-3)(x-2)
we can substract one term from the other and solve for x
(x^2-5x+6)-(x^2-x-6)=0
-4x+12=0
-4x=-12
x=-12/-4
x=3
therefore, (x-3) is a factor of both polynomials
panchod
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