SOLUTION: Find the polynomial given the zeros 2,-3,1

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Question 138662: Find the polynomial given the zeros 2,-3,1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x=2, x=-3, x=1 Start with the given roots


x-2=0, x%2B3=0, x-1=0 Get all of the terms to the left side


%28x-2%29%28x%2B3%29%28x-1%29=0 Now use the zero product property in reverse. Remember the zero product property says that if A%2AB=0 then A=0 or B=0



%28x%5E2%2Bx-6%29%28x-1%29=0 Foil the first two terms


x%5E3-7x%2B6=0 Expand and multiply


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Answer:

So our polynomial is x%5E3-7x%2B6 which is in ax%5E3%2Bbx%5E2%2Bcx%2Bd form where a=1, b=-7, c=0 and d=6