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Use the factor theorem to check whether the polynomial x - 2 is a factor of the polynomial - 2x3 + 8x? - 16x + 18. Find the remainder when the

I need help with questions 12-21. I don't seem to understand them.

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Use the factor theorem to check whether the polynomial x - 2 is a factor of the polynomial - 2x3 + 8x? - 16x + 18. Find theremainder when the polynomial - 2x3 + 8x? - 16x + 18 is divided by the polynomial x - 2.Is the polynomial x - 2 a factor of the polynomial - 2x3 + 8x? - 16x + 18?NoOYesWhat is the remainder when the polynomial - 2x3 + 8x? - 16x + 18 is divided by the polynomial x - 2?(Simplify your answer.)3. Find all rational zeros of the polynomial function below.f(x) = 2x3 - 11x? - 23x + 14Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The rational zero(s) of the function is/are(Simplify your answer. Use a comma to separate answers as needed.)O B. The function has no rational zeros.14.. Find all rational zeros of the following function. Then (if necessary) use the depressed equation to find all roots of theequation f(x) = 0.f(x) = 5x* - 11x3 - 8x? + 22x - 4Select the correct choice below, and fill in the answer box if necessaryO A. The set of all zeros of the given function is {(Simplify your answer. Use integers or fractions for any numbers in the expression. Type anexact answer, using radicals as needed. Use a comma to separate answers as needed.)O B. There are no real zeros.15. Find all zeros of the following polynomial function.P(x) = 2x4 - 21x3 + 75x- - 87x - 65The zeros of P(x) are(Simplify your answer. Use a comma to separate answers as needed. Express complex numbers in terms of i. Useintegers or fractions for any numbers in the expression.)16. Find all zeros of the polynomial function given below.P(x) = 2x5 - 15x4 + 35x3 - 70x? + 108x - 40All zeros of the polynomial function P(x) are(Use a comma to separate answers as needed. Express complex numbers in terms of i.)5 of 153/6/2019, 7:43
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