Question

g(x) = x3 + 2x2 − 5x − 6 Find the x-values for y= 3

Answer 1

Step-by-step explanation:

Let g(x)=x3−2x2−5x+6

⇒g(1)=13−212−5×1+6=1−2−5+6=0

Using synthetic division, we have

x2−x−6=0 is the other factor

(x−1)(x2−x−6)=0

=(x−1)(x2−3x+2x−6)=0

=(x−1)(x(x−3)+2(x−3))=0

=(x−1)(x+2)(x−3) are the factors of f(x)