BAIT #75 A2H

Front

What is the Rational Root Theorem?

Back

The Rational Root Theorem states that any rational solution of a polynomial equation, in the form of a fraction p/q, is such that p is a factor of the constant term and q is a factor of the leading coefficient.

Front

How do you factor a polynomial?

Back

To factor a polynomial, look for common factors, use grouping, or apply special factoring techniques such as difference of squares, perfect square trinomials, or the sum/difference of cubes.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (indeterminates) raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

Front

What are polynomial coefficients?

Back

Front

What is synthetic division?

Back

Front

What is the significance of the leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It determines the end behavior of the polynomial function.

Front

How do you find the roots of a polynomial?

Back

To find the roots of a polynomial, you can use methods such as factoring, synthetic division, the Rational Root Theorem, or numerical methods like the Newton-Raphson method.

Front

What is a factor of a polynomial?

Back

A factor of a polynomial is a polynomial of lower degree that divides the original polynomial without leaving a remainder.

Front

What is the difference between a root and a factor?

Back

A root of a polynomial is a value of the variable that makes the polynomial equal to zero, while a factor is a polynomial that divides the original polynomial evenly.