SOLUTION: given f(x)=3x^3-27x, find all the x intercepts, find the factored form for f(x) and then what is f(x) and if it's even or odd. thank you :)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: given f(x)=3x^3-27x, find all the x intercepts, find the factored form for f(x) and then what is f(x) and if it's even or odd. thank you :)       Log On


   

Question 378950: given f(x)=3x^3-27x, find all the x intercepts, find the factored form for f(x) and then what is f(x) and if it's even or odd. thank you :)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

f(x)=3x^3-27x  Or in factored from f(x) = 3x(x-3)x+3)

f(x) even 'or' odd, Even as substitutions for x show.f(0)= 0 zero an even number

finding the x intercepts (f(x) = 0

3x^3 - 27x = 0

3x(x^2 -9)  = 0

3x = 0

x = 0

(x^2 -9)  = 0  

x^2 = 9

x = ± 3

x = {-3,0,3}