Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
-$$k = - 2 ; f ( x ) = 4 x ^ { 3 } + 9 x ^ { 2 } + x - 2$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

When using synthetic division with $k = -2$ for the polynomial $f(x) = 4x^3 + 9x^2 + x - 2$, if the remainder is 0, then $k$ is a zero of the polynomial. Synthetic division in this case results in a remainder of 0, indicating that $k = -2$ is indeed a zero of the given polynomial.

Use Synthetic Division to Decide Whether the Given Number K k=−2;f(x)=4x3+9x2+x−2k = - 2 ; f ( x ) = 4 x ^ { 3 } + 9 x ^ { 2 } + x - 2k=−2;f(x)=4x3+9x2+x−2

Use Synthetic Division to Decide Whether the Given Number K $k = - 2 ; f ( x ) = 4 x ^ { 3 } + 9 x ^ { 2 } + x - 2$