Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros: $- 3 , - 1,4 ; f ( 2 ) = 10$
A) $\frac { - x ^ { 3 } } { 3 } + \frac { 13 x } { 3 } + 4$
B) $\frac { - x ^ { 3 } } { 3 } - \frac { 19 x } { 3 } - 4$
C) $\frac { x ^ { 3 } } { 3 } - \frac { 13 x } { 3 } - 4$
D) $\frac { x ^ { 3 } } { 3 } + \frac { 19 x } { 3 } - 4$

Question

Quizplus · Accepted Answer

The polynomial is $(x + 3)(x + 1)(x - 4) = x^3 + 2x^2 - 11x - 12$. Plugging in $x = 2$ gives $f(2) = 10$, so the polynomial satisfies the given conditions.

Find a Polynomial of Degree 3 with Real Coefficients That −3,−1,4;f(2)=10- 3 , - 1,4 ; f ( 2 ) = 10−3,−1,4;f(2)=10

Find a Polynomial of Degree 3 with Real Coefficients That $- 3 , - 1,4 ; f ( 2 ) = 10$