Use synthetic division to show that

Question

x=-5

is a root of the equation

x³+11x²−10x−200=0.

Use the result to factor the polynomial completely into the form

(x+A)(x+B)(x+C)

Then give the list of values A,B,C you obtain:

Answer 1

1 11 -10 -200

-5 -5 -30 200

1 6 -40 0

x^2 + 6 - 40 = 0

(x-4)(x+10) = 0

(x-4)(x+10)(x+5)

Answer 2