BAIT #74 A2H

Front

What does the Rational Root Theorem state about possible rational roots of a polynomial?

Back

Front

What is the Fundamental Theorem of Algebra?

Back

Front

How do you determine the number of positive real solutions of a polynomial?

Back

To determine the number of positive real solutions of a polynomial, you can use Descartes' Rule of Signs, which states that the number of positive real roots is equal to the number of sign changes in the polynomial's coefficients.

Front

What is a complex root?

Back

Front

What is the significance of imaginary numbers in polynomials?

Back

Imaginary numbers allow for the extension of the real number system to solve polynomial equations that do not have real solutions, thus ensuring that every polynomial has a root in the complex number system.

Front

Back

Front

What is the relationship between real and complex numbers?

Back

Front

What is the role of the leading coefficient in determining the end behavior of a polynomial function?

Back

Front

What is Descartes' Rule of Signs?

Back

Descartes' Rule of Signs is a method for determining the number of positive and negative real roots of a polynomial by counting the number of sign changes in the polynomial's coefficients.

Front

What does it mean for a polynomial to have multiple roots?

Back

A polynomial has multiple roots when a particular root occurs more than once, which means that the polynomial can be factored into a form that includes that root raised to a power greater than one.