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College Algebra: Polynomial Functions

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For each polynomial function, find all zeros and their multiplicities:

1. f(x)=(x+1)^2(x-1)^3(x^2-10)

Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions:

1. Zeros of 2, -3, and 5; f(3)=6

2. Zero of 4 having multiplicity 2 and zero of 2 having multiplicity 1; f(1)= -18

Find a polynomial function of least degree having only real coefficients with zeros as given:

1. 7 - 2i and 7 + 2i

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This solution answer various college-level algebra questions

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