Question

Rational Root Theorem Descartes Rule of Signs problems?

A) Polynomial factorization
B) Determining roots
C) Analyzing inequalities
D) Solving trigonometric equations

Answer 1

The Rational Root Theorem and Descartes Rule of Signs are methods used in solving quadratic equations by analyzing inequalities.

Step-by-step explanation:

Quadratic Equations

Quadratic equations are polynomial equations of degree 2. The Rational Root Theorem and Descartes Rule of Signs are methods used in solving quadratic equations.

A)

Polynomial factorization: The Rational Root Theorem helps in finding the possible rational roots of a polynomial, which can then be used to factorize the polynomial.
B)

Determining roots: The Rational Root Theorem can also be used to determine the exact roots of a polynomial equation.

C)

Analyzing inequalities: The Descartes Rule of Signs helps in analyzing the number of positive and negative roots of a polynomial inequality.
Therefore, the correct answer is C) Analyzing inequalities.