Factor out the greatest common factor from each polynomial. See Example 1. 5h^2j+hj

Key Concepts

Greatest Common Factor (GCF)

The Greatest Common Factor (GCF) is the largest polynomial or integer that divides each term of a polynomial without leaving a remainder. To find the GCF, identify the common factors in the coefficients and the variables of each term. For example, in the polynomial 5h^2j + hj, the GCF is hj, as it is the highest factor common to both terms.

Factoring Polynomials

Factoring polynomials involves rewriting a polynomial as a product of its factors. This process simplifies expressions and can make solving equations easier. In the context of the given polynomial, factoring out the GCF transforms the expression into a simpler form, allowing for easier manipulation and understanding of its structure.

Polynomial Terms

A polynomial is composed of terms, which are individual components that can include coefficients, variables, and exponents. Each term in a polynomial is separated by addition or subtraction. Understanding the structure of polynomial terms is essential for identifying the GCF and effectively factoring the polynomial, as it allows for the recognition of common elements across the terms.