Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
-$$\frac { 1 } { 2 } ; f ( x ) = 2 x ^ { 4 } - 21 x ^ { 3 } + 3 x + 1$$
A) Yes
B) $\mathrm { No }$

Question

Quizplus · Accepted Answer

When using synthetic division with $k = \frac{1}{2}$ for the polynomial $f(x) = 2x^4 - 21x^3 + 3x + 1$, the remainder is 0, indicating that $\frac{1}{2}$ is a zero of the polynomial.

Use Synthetic Division to Decide Whether the Given Number K 12;f(x)=2x4−21x3+3x+1\frac { 1 } { 2 } ; f ( x ) = 2 x ^ { 4 } - 21 x ^ { 3 } + 3 x + 121​;f(x)=2x4−21x3+3x+1

Use Synthetic Division to Decide Whether the Given Number K $\frac { 1 } { 2 } ; f ( x ) = 2 x ^ { 4 } - 21 x ^ { 3 } + 3 x + 1$