Factor Polynomials (n>2) Completely

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

Define a factor of a polynomial.

Back

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

Front

What does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means expressing it as a product of its irreducible factors, which cannot be factored further over the given number system.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

Back

To factor a cubic polynomial, look for common factors, use synthetic division, or apply the Rational Root Theorem to find roots.

Front

What is the Rational Root Theorem?

Back

Front

Back

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree and determines the end behavior of the polynomial graph.

Front

What is synthetic division?

Back

Front

Back