How to Simplify Polynomials? (+FREE Worksheet!)

To simplify polynomials, you need to find 'like' terms and combine them. Here you can learn how to simplify polynomials.

How to Simplify Polynomials? (+FREE Worksheet!)

Related Topics

Step by step guide to simplifying polynomials

  • Find “like” terms. (they have same variables with same power).
  • Add or Subtract “like” terms using order of operation.

Simplifying Polynomials – Example 1:

Simplify this expression. \(2x(2x-4)=\)

Solution:

Use Distributive Property: \(2x(2x−4)=4x^2−8x\)

Simplifying Polynomials – Example 2:

Simplify this expression. \(4x^2+6x+2x^2-4x-3=\)

Solution:

First find “like” terms and combine them: \(4x^2+2x^2= 6x^2 \), \(6x-4x= 2x\)
Now simplify: \(4x^2+6x+2x^2-4x-3=6x^2+2x-3\)

Simplifying Polynomials – Example 3:

Simplify this expression. \(4x(6x-3)=\)

Solution:

Use Distributive Property: \(4x(6x-3)=24x^2-12x\)

Simplifying Polynomials – Example 4:

Simplify this expression. \(7x^3+2x^4+2x^3-4x^4-8x=\)

Solution:

First find “like” terms and combine them: \(7x^3+2x^3= 9x^3 \), \(2x^4-4x^4= -2x^4 \)
Now simplify and write in standard form: \(7x^3+2x^4+2x^3-4x^4-8x=-2x^4+9x^3-8x\)

Exercises for Simplifying Polynomials

Simplify each expression.

  1. \(\color{blue}{(12x^3 + 28x^2 + 10x^2 + 4) }\)
  2. \(\color{blue}{(2x + 12x^2 – 2) – (2x + 1)}\)
  3. \(\color{blue}{(2x^3 – 1) + (3x^3 – 2x^3)}\)
  4. \(\color{blue}{(x – 5) (x – 3)}\)
  5. \(\color{blue}{(3x + 8) (3x – 8)}\)
  6. \(\color{blue}{(8x^2 – 3x) – (5x – 5 – 8x^2)}\)

Download Simplifying Polynomials Worksheet

  1. \(\color{blue}{12x^3 + 38x^2 + 4}\)
  2. \(\color{blue}{12x^2 – 3 }\)
  3. \(\color{blue}{3x^3 – 1}\)
  4. \(\color{blue}{x^2 – 8x + 15}\)
  5. \(\color{blue}{9x^2 – 64}\)
  6. \(\color{blue}{16x^2 – 8x + 5}\)

Related to "How to Simplify Polynomials? (+FREE Worksheet!)"

How to Fall in Love with Math and Studying?How to Fall in Love with Math and Studying?
How to Apply Trigonometry to General Triangles?How to Apply Trigonometry to General Triangles?
How to Determine Limits Using the Squeeze Theorem?How to Determine Limits Using the Squeeze Theorem?
How to Determine Limits Using Algebraic Manipulation?How to Determine Limits Using Algebraic Manipulation?
How to Estimate Limit Values from the Graph?How to Estimate Limit Values from the Graph?
Properties of LimitsProperties of Limits
How to Find the Expected Value of a Random Variable?How to Find the Expected Value of a Random Variable?
How to Define Limits Analytically Using Correct Notation?How to Define Limits Analytically Using Correct Notation?
How to Solve Multiplication Rule for Probabilities?How to Solve Multiplication Rule for Probabilities?
How to Solve Venn Diagrams and the Addition Rule?How to Solve Venn Diagrams and the Addition Rule?

What people say about "How to Simplify Polynomials? (+FREE Worksheet!)"?

No one replied yet.

Leave a Reply