Question 276721
it is like "long division" from grade school


x goes into x^3, x^2 times


x^2 times (x - 3) is (x^3 - 3x^2)


(x^3 + x^2) minus (x^3 -3x^2) is 4x^2 ___ bring down -10x


x goes into 4x^2, 4x times


4x times (x - 3) is (4x^2 - 12x)


(4x^2 - 10x) minus (4x^2 - 12x) is 2x ___ bring down -6


x goes into 2x, 2 times


2 times (x - 3) is (2x - 6)


(2x - 6) minus (2x - 6) is zero ___ no remainder


{{{x^3+x^2-10x-6}}}/x-3 = x^2 + 4x + 2