(Steps Shown) a. Use synthetic to show that 3 is a solution of the polynomial equation 14x^3-17x^2-16x-177=0 b. Use the solution form part (a) to solve
Question: a. Use synthetic to show that 3 is a solution of the polynomial equation
\[14{{x}^{3}}-17{{x}^{2}}-16x-177=0\]b. Use the solution form part (a) to solve this problem. The number of eggs, f(x), in a female moth is a function of her abdominal width, x, in millimeters, modeled by
f(x) =
\[\begin{aligned} & 14{{x}^{3}}-17{{x}^{2}}-16x+34. \\ & \\ \end{aligned}\] What is the abdominal width when there are 211eggs?
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