Find a polynomial of degree 3 with constant coefficient $12$ and zeros $1 / 2$, $- 2$, and $3$
A) $4 x ^ { 3 } - 6 x ^ { 2 } - 22 x - 12$
B) $x ^ { 3 } - 6 x ^ { 2 } - 22 x - 12$
C) $4 x ^ { 3 } - 6 x ^ { 2 } - 22 x + 12$
D) $4 x ^ { 3 } - 6 x ^ { 2 } + 22 x + 12$
E) $4 x ^ { 3 } + 6 x ^ { 2 } - 22 x + 12$

Question

Quizplus · Accepted Answer

The polynomial with zeros $1/2$, $-2$, and $3$ is $k(x - 1/2)(x + 2)(x - 3)$. Expanding this and setting the constant term to 12 gives the polynomial $4x^3 - 6x^2 - 22x + 12$.

Find a Polynomial of Degree 3 with Constant Coefficient 121212 And Zeros

Find a Polynomial of Degree 3 with Constant Coefficient $12$ And Zeros