Use synthetic division to show that

Question

Use synthetic division to show that

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

x^3 +11x^2 -10x -200 =

(x-4)(x^2+15x+50) =

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

A,B,C = 4,-5,-10

use synthetic division to

get (x+5)(x^2+6x-40) = (x+5)(x-4)(x+10)

x= 4,-5,-10