a. Use symbolic division to show that 3 is a solution or the polynomial equation 14 x 3 − 17 x 2 − 16 x − 177 = 0 b. Use the solution from 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 ) = 14 x 3 − 17 x 2 − 16 x + 34 What is the abdominal width when there are 211 eggs?
a. Use symbolic division to show that 3 is a solution or the polynomial equation 14 x 3 − 17 x 2 − 16 x − 177 = 0 b. Use the solution from 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 ) = 14 x 3 − 17 x 2 − 16 x + 34 What is the abdominal width when there are 211 eggs?
Solution Summary: The author proves that 3 is a solution of the polynomial equation, using the synthetic division theorem.
a. Use symbolic division to show that 3 is a solution or the polynomial equation
14
x
3
−
17
x
2
−
16
x
−
177
=
0
b. Use the solution from 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
)
=
14
x
3
−
17
x
2
−
16
x
+
34
What is the abdominal width when there are 211 eggs?
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