# Factored Polynomial

Polynomials

## Definition

A factored polynomial is a polynomial that is expressed as the product of its factors.

## Description

Factoring polynomials is a fundamental skill in algebra that simplifies complex expressions and solves polynomial equations. By expressing a polynomial as the product of its factors, students can more easily identify the roots of the polynomial and understand its behavior. Factored forms are particularly useful in solving quadratic and higher-degree equations.

Understanding factored polynomials is essential for various mathematical operations, including simplifying expressions, solving equations, and analyzing polynomial functions. Factoring techniques such as grouping, using the quadratic formula, and applying special product formulas are crucial for mastering this concept. In practical applications, factored polynomials are used in fields such as physics, engineering, and economics to model and solve real-world problems involving polynomial relationships.

For a complete collection of terms related to polynomials click on this link: Polynomial Collection

Common Core Standards CCSS.MATH.CONTENT.HSA.APR.A.1, CCSS.MATH.CONTENT.HSA.APR.B.2, CCSS.MATH.CONTENT.HSA.APR.C.5, CCSS.MATH.CONTENT.HSA.APR.C.4, CCSS.MATH.CONTENT.HSA.APR.B.3, CCSS.MATH.CONTENT.HSF.IF.C.7.C 8 - 12 Algebra     • Polynomials         • Factoring Polynomials 2021 polynomials, monomials, definitions, glossary term