Western Governors University (WGU) MATH1200 C957 Applied Algebra Practice Exam

Which of the following statements is true regarding polynomial degrees?

A degree 1 polynomial cannot handle turns at all

A degree 2 polynomial can handle multiple turns

A degree 3 polynomial can handle 2 turns

A linear polynomial graph is a straight line

A linear polynomial is defined as a polynomial of degree 1, which can be represented in the form $y = mx + b$, where $m$ and $b$ are constants. When graphed, this equation produces a straight line. The key characteristic of a linear polynomial is that it does not curve; instead, it represents a constant rate of change, which is visually represented by a straight line.

In contrast to the statement you've selected, the other options present misunderstandings about the nature of polynomial degrees and their respective graphs. For instance, degree 1 polynomials do not possess any turns, and while a degree 2 polynomial, which represents a quadratic, can indeed handle one turn, it typically appears as a parabola with a single vertex. Moreover, a degree 3 polynomial can accommodate up to two turns, not just one, which further distinguishes it from lower-degree polynomials.

Thus, the correct statement about polynomial degrees emphasizes that a linear polynomial graph is indeed a straight line, showcasing its fundamental property within polynomial classification.