Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
-$$k = - \frac { 1 } { 3 } ; f ( x ) = - 3 x ^ { 4 } + 8 x ^ { 3 } + 2 x + 1$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

When using synthetic division with $k = -\frac{1}{3}$ on the polynomial $-3x^4 + 8x^3 + 2x + 1$, the remainder is 0, indicating that $k = -\frac{1}{3}$ is indeed a zero of the polynomial.

Use Synthetic Division to Decide Whether the Given Number K k=−13;f(x)=−3x4+8x3+2x+1k = - \frac { 1 } { 3 } ; f ( x ) = - 3 x ^ { 4 } + 8 x ^ { 3 } + 2 x + 1k=−31​;f(x)=−3x4+8x3+2x+1

Use Synthetic Division to Decide Whether the Given Number K $k = - \frac { 1 } { 3 } ; f ( x ) = - 3 x ^ { 4 } + 8 x ^ { 3 } + 2 x + 1$