3. f(x) is a third degree polynomial with lead coefficient -1 and zeros at 1, 3 and-5. a) Write f(x) in complete factored form. b) Describe the end behavior of f(x).

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A: Iterative method.

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A: Let us consider a fourth-degree polynomial:

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A:

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A:

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A:

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A:

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A:

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A:

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Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

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A: To explain about the polynomial

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A:

Q: 8. Determine algebraically the polynomial function that passes through the points below.

A: Given,

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A: topic- polynomials

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A:

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A: Let's Solve,

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A:

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A: Assume a polynomial and use the given point.

Q: polynomial

A:

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.