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(52924) (Show Source):
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.
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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