Question: Use the factor theorem to determine if the given binomial is a factor of f(x). 14. f(x) = x4 + 11x +41x +61x +

Use the factor theorem to determine if the given binomial is a

Use the factor theorem to determine if the given binomial is a factor of f(x). 14. f(x) = x4 + 11x +41x +61x + 30 a. x+5 b. x - 2 15. Given g(x) = x - 14x + 45 a. Evaluate g(5) b. Evaluate g(-5) c. Solve g(x) = 0. *0+61 +5 For problems 16-17, write a polynomial f(x) that meets the given conditions. Answers may vary. You may assume that the leading coefficient is 1. 16. Degree 3 polynomial with zeros 2, 3, -4 17. Degree 3 polynomial with zeros -2, 3i, - 31

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