How Do You Find the Additive Inverse of a Polynomial?

How Do You Find the Additive Inverse of a Polynomial?

Note:

Two polynomials area additive inverses if they are opposites of each other. In this tutorial, you'll see how to find the additive inverse of a given polynomial. Take a look!

Keywords:

  • opposite
  • inverse
  • additive inverse
  • polynomial
  • subtract polynomials
  • signs
  • different signs
  • negative
  • negative signs
  • switch signs
  • multiply
  • distribute
  • distributive property
  • add
  • subtract
  • subtraction

Background Tutorials

  • Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.

      • What is the Opposite, or Additive Inverse, of a Number?What is the Opposite, or Additive Inverse, of a Number?

      What is the Opposite, or Additive Inverse, of a Number?

      Have you ever combined two numbers together and found their sum to be zero? When that happens, those numbers are called additive inverses of each other! In this tutorial, you'll learn the definition for additive inverse and see examples of how to find the additive inverse of a given value.

  • Apply the properties of operations to generate equivalent expressions.

      • What is the Distributive Property?What is the Distributive Property?

      What is the Distributive Property?

      The distributive property is a very deep math principle that helps make math work. It's the rule that lets you expand parentheses, and so it's really critical to understand if you want to get good at simplifying expressions. So check out the tutorial and let us know what you think!

  • Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

      • What is a Polynomial?What is a Polynomial?

      What is a Polynomial?

      If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.

Further Exploration

  • Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

      • How Do You Subtract Polynomials?How Do You Subtract Polynomials?

      How Do You Subtract Polynomials?

      Subtracting polynomials? No problem! Just distribute the negative sign to the second polynomial and then combine like terms. Watch this tutorial to see how it's done!