Question

How would you use synthetic divison to find a second root that will reduce the cubic expression:

x^3+4x^2+6x+4

into a quadratic expression?

Answer 1

of it has a rational zero, it must be negative, and your choices are numbers that divide 4, namely -1,-2,-4
-1 does not work, but i think -2 does
check that f(-2)=0 and then factor it as (x +2 )(some quadratic)