Here are the essential concepts you must grasp in order to answer the question correctly.
Complex Conjugate Root Theorem
The Complex Conjugate Root Theorem states that if a polynomial has real coefficients, then any non-real complex roots must occur in conjugate pairs. This means that if a complex number 'a + bi' is a root, its conjugate 'a - bi' must also be a root of the polynomial.
Recommended video:
Polynomial Functions
A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The degree of the polynomial is determined by the highest power of the variable. Understanding the nature of polynomial functions is essential for analyzing their roots and behavior.
Recommended video:
Introduction to Polynomial Functions
Zeros of a Function
The zeros of a function, also known as roots, are the values of the variable that make the function equal to zero. For polynomial functions, finding the zeros is crucial for understanding the function's graph, as they indicate where the graph intersects the x-axis.
Recommended video:
Finding Zeros & Their Multiplicity