Question: Let f(x) be the polynomial function f(x)=2x +11x +10x-8. (a) Use the Rational Zero Theorem to find all possible rational zeros of the polynomial.

Let f(x) be the polynomial function f(x)=2x +11x +10x-8. (a) Use the

Let f(x) be the polynomial function f(x)=2x +11x +10x-8. (a) Use the Rational Zero Theorem to find all possible rational zeros of the polynomial. (b) Use Descartes' Rule of Signs to determine the possible number of positive and negative real zeros. (c) Use the Upper and Lower Bounds Test to show that 1 is an upper bound and explain. Make a list of possible rational zeros that can be eliminated base on this result? (d) Use the information from Part (a)-(c) and synthetic division to find all zeros of the function. Write the polynomial in factored form.

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