Question

Give one example of a polynomial of degree 4 that has a zero at x=5 with multiplicity 2

Answer 1

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Answer:

y = (x -5)^2(x^2 +1)

Explanation:

The zero at x=5 means that (x-5) is a factor. The multiplicity of 2 means that factor occurs twice (is squared). The remaining 2nd degree factor can be anything. In this equation, we have elected to make it have complex zeros.

y = (x -5)^2(x^2 +1)