Question 38302
A. Use long division to divide x³+6x²-x-30 by x²+8x+15
{{{(x^3+6x^2-x-30)/(x^2+8x+15)}}}
{{{((x+3)(x+5)(x-2))/((x+3)(x+5))}}}
{{{x-2}}}
B. Use synthetic division to divide (x³+5x²-18)/(x+3)
x....1....5....0....-18
-3 ! 1 !  2 !  -6 !  0
So: {{{x^2 + 2x -6}}}