Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: $- 5 , - 3,3$; degree 3
A) $f ( x ) = x ^ { 3 } - 9 x - 5 x ^ { 2 } + 45$
B) $f ( x ) = x ^ { 3 } + 9 x - 5 x ^ { 2 } - 45$
C) $f ( x ) = x ^ { 3 } + 9 x + 5 x ^ { 2 } + 45$
D) $f ( x ) = x ^ { 3 } - 9 x + 5 x ^ { 2 } - 45$

Question

Quizplus · Accepted Answer

The polynomial with zeros $-5, -3, 3$ and degree 3 is $f(x) = (x + 5)(x + 3)(x - 3)$. Expanding this gives $x^3 - 9x + 5x^2 - 45$.

Form a Polynomial Whose Zeros and Degree Are Given −5,−3,3- 5 , - 3,3−5,−3,3

Form a Polynomial Whose Zeros and Degree Are Given $- 5 , - 3,3$