SOLUTION: PLEASE, can anyone help me with this? I have to write a polynomial function in standard form with the following zeros: a. 1,1 b. 0,5,-5 c.0,0,0,1 d. 2,2,1,-1 Thanks for

Algebra ->  Rational-functions -> SOLUTION: PLEASE, can anyone help me with this? I have to write a polynomial function in standard form with the following zeros: a. 1,1 b. 0,5,-5 c.0,0,0,1 d. 2,2,1,-1 Thanks for      Log On


   



Question 548300: PLEASE, can anyone help me with this?
I have to write a polynomial function in standard form with the following zeros:
a. 1,1
b. 0,5,-5
c.0,0,0,1
d. 2,2,1,-1

Thanks for your help

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Keep this in mind. It's taken from another answer, but describes the situation well.


Consider:
(x-a)(x-b)(x-c)=0


Recall from properties of numbers that if you multiply any quantity by 0 you get 0. So at least one of x-a, x-b, x-c has to be 0 for this to be true. What makes that true? x=a,x=b,x=c!


Also remember FOIL when multiplying two binomials.


a. 1,1 is x=1 and x=1 meaning (x-1)(x-1) or %28x-1%29%5E2+=+x%5E2+-+2x+%2B1


b. 0,5,-5 is x=0, x=5 and x=-5 meaning x(x-5)(x+5) = x%28x%5E2-25%29=x%5E3-25x


c.0,0,0,1 is x=0, x=0, x=0, x=1 meaning x*x*x(x-1) = x%5E3+%28x-1%29+=+x%5E4+-+x%5E3
d. 2,2,1,-1 is x=2, x=2, x=1, x=-1 meaning %28x-2%29%5E2+%2A%28x-1%29%2A%28x%2B1%29

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