If f(x)= x^3 + 6x^2 - 9x + 14 and x-2 is a factor of f(x), then find all of the zeros of f(x) algebraically.

Answer
Write properties of function:
x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]
factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]
Explanation
Write properties of function: Write properties of function:
x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]
factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]
Answer: Write properties of function:
x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]
factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]