SOLUTION: write the polynomial function with the given roots. 1.2,1,-2 2.5,1,4,-1 3.1/2,1/3,-1,1 4.6,1,3,-1 5.-1,0,1,3

Question 911795: write the polynomial function with the given roots.
1.2,1,-2
2.5,1,4,-1
3.1/2,1/3,-1,1
4.6,1,3,-1
5.-1,0,1,3
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

I'll do just the longest one.  You do the others the same way:

,,,

Set x equal to each:

,,,

Get 0 on the right of each by subtracting the number on
the right of each from both sides of each

,,,

Clear the equations of fractions that have fractions:

,,,

Put all those left sides in parentheses:

,,,

Multiply equals by equals 4 times:



FOIL the first two and then FOIL the last two:



Multiply every term in the first parentheses by every term in
the second parentheses:



Collect like terms



Do the others the exact same way.

Edwin

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