To subtract a polynomial from another polynomial

## Objective

To subtract a polynomial from another polynomial

## What is a polynomial?

A polynomial is defined as an expression of one or more terms.

## Types of polynomials

• Monomial : A polynomial of one term is called a monomial.
• Binomial : A polynomial of two terms is called a binomial.
• Trinomial : A polynomial of three terms is called a trinomial.

## What is "subtracting polynomials"?

• Subtracting polynomials is very similar to adding polynomials, where the minus sign is converted through the parentheses.
• There are two methods of subtracting polynomials : vertically and horizontally.
• Keep two rules in mind while performing the subtraction of polynomials:
• Rule 1: Always take like terms together while performing subtraction.
• Rule 2: The signs of all the terms of the subtracting polynomial will change; the "+" sign changes to the "–" sign, and the "–" sign changes to the "+" sign.

## Like Terms:

• Like terms that have the same algebraic factors.
• In the like terms, only the numerical coefficients can vary.
• For example, 4𝑥y and -3𝑥y are an algebraic expressions with like terms.

## Unlike Terms:

• The terms that have the different algebraic factors are unlike terms.
• For example, 4𝑥y and -3𝑥 are an algebraic expressions with unlike terms.