Multiply Polynomial Worksheets

There are three sets of polynomial worksheets:

• Add & Subtract Polynomials
  
• Multiply Polynomials
  
• Divide Polynomials
  

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to multiply polynomials.

How to multiply polynomials?

There are five sets of multiplying polynomials worksheets.

• Multiply Monomials & Binomials
• Multiply Monomials & Polynomials
• Multiply Binomials
• Squaring Binomials
• Multiply Polynomials

Here’s a step-by-step guide on how to multiply polynomials:

Multiplying polynomials involves applying the distributive property and combining like terms to simplify the expression. To multiply two polynomials, follow these steps:

1. Write the two polynomials side by side.
2. Apply the Distributive Property: Distribute the terms of the first polynomial across the terms of the second polynomial by multiplying each term in the first polynomial by each term in the second polynomial.
3. Combine Like Terms: After distributing, combine like terms by adding or subtracting coefficients with the same variables and exponents.

Let’s work through an example to illustrate these steps:

Example: Multiply (2x + 3) and (x - 4).

1. Write down the polynomials side by side:
   (2x + 3)(x - 4)
2. Apply the distributive property:
   (2x)(x) + (2x)(-4) + (3)(x) + (3)(-4)
3. Multiply the terms:
   2x² - 8x + 3x - 12
4. Combine like terms:
   2x² - 5x - 12

So, the product of (2x + 3) and (x - 4) is 2x² - 5x - 12.

Remember that practice is key to mastering polynomial multiplication. It’s important to carefully distribute and combine terms to simplify the expression correctly.

Have a look at this video if you need to review how to multiply monomials & binomials.

• Multiplying Monomials and Binomials

Have a look at this video if you need to review how to multiply polynomials.

• Multiplying Polynomials

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Multiply Polynomial Worksheets.

 

More Multiply Polynomial Worksheets

Printable
(Answers on the second page.)
Multiply Monomials & Binomials Worksheet
Multiply Monomials & Polynomials Worksheet
Multiply Binomials Worksheet
Squaring Binomials Worksheet
Multiply Polynomials Worksheet

Online or Generated
Solve System of Equations by Substitution

Solve System of Equations by Addition
Solve System of Equations by Subtraction
Solve System of Equations by Addition or Subtraction
Solve by Multiplication and then Addition or Subtraction

Remainder Theorem

Related Lessons & Worksheets

Multiply Polynomials
Solving Equations by Combining like terms

More Printable Worksheets

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