Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
-$k = - 1 - 3 i ; f ( x ) = x ^ { 2 } - 2 x + 10$

Question

Quizplus · Accepted Answer

Synthetic division is used for real coefficients and cannot directly handle complex numbers like $k = -1 - 3i$. To test if a complex number is a root, one would typically use direct substitution or other algebraic methods suitable for complex numbers.

Use Synthetic Division to Decide Whether the Given Number K k=−1−3i;f(x)=x2−2x+10k = - 1 - 3 i ; f ( x ) = x ^ { 2 } - 2 x + 10k=−1−3i;f(x)=x2−2x+10

Use Synthetic Division to Decide Whether the Given Number K $k = - 1 - 3 i ; f ( x ) = x ^ { 2 } - 2 x + 10$