SOLUTION: 1, -3, 2; degree 3 use the factor theorem to write the function in factored form and standard form. This is the math problem I'm stuck on if you could help me I'd highly appreciate

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1, -3, 2; degree 3 use the factor theorem to write the function in factored form and standard form. This is the math problem I'm stuck on if you could help me I'd highly appreciate      Log On


   

Question 1055317: 1, -3, 2; degree 3 use the factor theorem to write the function in factored form and standard form. This is the math problem I'm stuck on if you could help me I'd highly appreciate it
Answer by Edwin McCravy(20066) About Me  (Show Source):
You can put this solution on YOUR website!

The last thing you would have written after having 
solved a polynomial equation whose solutions are 
1, -3, 2; would have been:

  x=1;    x=-3;   x=2

And just before that you would have had written

x-1=0;  x+3=0;  x-2=0

And just before that you would have had:

(x-1)(x+3)(x-2) = 0

And before that you would have had the polynomial f(x) 
that you were to find the zeros of by setting it equal
to zero, and solving.

f(x) = (x-1)(x+3)(x-2)

That's factored form.  Before that it was in general form.
If you multiply two of those parentheses, and then take 
what you get and multiply by the third one, and collect 
and/or cancel all the like terms you'll end up with this 
general form:

f(x) = x3-7x+6

Edwin