The real roots of polynomials are usually classified as being either ____ numbers or irrational.
A) royal
B) integer
C) rational
D) transcendental

Question

Quizplus · Accepted Answer

Rational numbers are numbers that can be expressed as a ratio of two integers, meaning they can be written in the form p/q where p and q are integers and q is not equal to zero. Since the coefficients of polynomials are usually integers, their rational roots will also be expressed as ratios of integers. However, it is possible for polynomials to have irrational roots that cannot be expressed as a ratio of integers. These can include roots such as square roots or cube roots of non-perfect squares or non-perfect cubes, as well as transcendental numbers like pi or e. Therefore, the real roots of polynomials are usually classified as either rational or irrational.

The Real Roots of Polynomials Are Usually Classified as Being