Question

Simplify fully
X squared - 8x + 15
Over
X squared + x -12

Answer 1

`(x^(2) - 8x + 15)/(x^(2) + x - 12) = (x^(2) - 5x - 3x + 15)/(x^(2) + 4x - 3x - 12) = ((x - 3)(x - 5))/((x - 3)(x + 4)) = (x - 5)/(x + 4)`

Answer 2

`(x^2-8x+15)/(x^2+x-12)=(x^2-3x-5x+15)/(x^2-3x+4x-12)=(x(x-3)-5(x-3))/(x(x-3)+4(x-3))=((x-5)(x-3))/((x+4)(x-3))= \\ =\boxed{(x-5)/(x+4)}, x \\ot= -4 \hbox{ and } x\\ot= 3`