SOLUTION: How do I form a polynomial whose zeros and degrees are given Zeros: 9, multiplicity 1; 2, multiplicity 2; degree 3

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Question 1203999: How do I form a polynomial whose zeros and degrees are given
Zeros: 9, multiplicity 1; 2, multiplicity 2; degree 3
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!
.

Polynomial  P(x) =   has the degree 3 and zeroes 9, multiplicity 1 and 2, multiplicity 2.    ANSWER



    How to create such a polynomial ? - Nothing is easier than it.


        Take linear binomials with assigned zeros; raise each such a binomial into 
        a degree equal to the corresponding multiplicity, and multiply these polynomial factors.

Solved.



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Zeros: , multiplicity ; , multiplicity ; degree
using zero product formula, function of degree is:
where , , and are zeros
given that

multiplicity which means third zero is same, so
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