Find a polynomial of degree 3 with constant coefficient $- 18$ and zeros $- 1$, $- 2$, and $3$
A) $3 x ^ { 3 } - 21 x - 18$
B) $x ^ { 3 } - 21 x ^ { 2 } - 18$
C) $3 x ^ { 3 } + 21 x + 18$
D) $3 x ^ { 3 } - x ^ { 2 } + 21 x - 18$
E) none

Question

Quizplus · Accepted Answer

The product of the zeros is $- 6$, so the constant coefficient is $- 18$. The sum of the zeros is $0$, so the coefficient of the $x^2$ term is $0$. The polynomial is therefore $3x^3 - 18$.

Find a Polynomial of Degree 3 with Constant Coefficient −18- 18−18

Find a Polynomial of Degree 3 with Constant Coefficient $- 18$