SOLUTION: find a polynomial of degree 4 with 1 as a zero of multiplicity 2&-3 &5 as zero of multiplicity

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Question 1137491: find a polynomial of degree 4 with 1 as a zero of multiplicity 2&-3 &5 as zero of multiplicity
Answer by greenestamps(13200) About Me  (Show Source):
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find a polynomial of degree 4 with 1 as a zero of multiplicity 2 and -3 and 5 as zeroes of multiplicity 1

A zero at x=a means a factor of (x-a) in the polynomial function. If the root is of multiplicity n, then the factor (x-a) is to the n-th power.

So the polynomial in this example is

f%28x%29+=+%28x-1%29%5E2%28x%2B3%29%28x-5%29

Expand if required....

graph%28400%2C400%2C-5%2C10%2C-100%2C60%2C%28x-1%29%5E2%28x%2B3%29%28x-5%29%29