SOLUTION: Write the equation of the polynomial function with the given zeros: 3,4,-2

Question 286542: Write the equation of the polynomial function with the given zeros:
3,4,-2
Found 3 solutions by jim_thompson5910, richwmiller, Fombitz:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Hint: if 3, 4, and -2 are zeros, then x=3, x=4 or x=-2. Get all of the nonzero terms to the left side to get x-3=0, x-4=0, or x+2=0. Use the zero product property to then get . From here, just FOIL and expand.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
(x-3)*(x-4)*(x+2)=0
foil these factors
(x-3)*(x-4)=
to get x^2-7x+12
Multiply each part by x and by 2 and add them to get
x^3-5x^2-2x+24=0
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Since they are the zeros, then the factors are

The simplest polynomial would be the product of these three factors,

I leave it to you to verify that 3, 4, and -2 are still zeros for f(x).

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