The following collection of activity sheets teaches your students how to correctly multiply polynomial equations.

There are linear equations, quadratic equations, cubic equations, and the equations with higher maximum power are known as polynomials. Poly is a term that means 'many,' and nominal means terms; polynomial, therefore, means many terms. Polynomials have constants, variables, exponents. So, how you multiply polynomials? Step 1: Distribute each term of the first polynomial to every term of the second polynomial. Remember that when you multiply two terms together, you must multiply the coefficient (numbers) and add the exponents. Step 2: Combine like terms (if you can).

When you are simplifying polynomials, you will often come across multiplication operations. Your step will be to distribute each term of the first polynomial to every single term of the second polynomial. This includes any coefficients and exponents as well. From there you just combine the like terms. The main thing that you need to keep in the front of your thoughts here is to make sure that you organize your problem. These worksheets explain how to multiply polynomial equations by other polynomials, as well as by monomials. Answers may be polynomial equations, monomials, fractions, or whole numbers.



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Polynomial Multiplication Worksheets

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Multiply Polynomials Lesson

This worksheet explains how to multiply expressions like this: (a + 2b)(3a – 4b + 5). Multiply the first variable a with all the variable of second bracket and multiply the second variable 2b with all the variable of second bracket. A sample problem is solved.

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Lesson and Practice

Given a rectangle within a rectangle, write an expression for the colored area. A sample problem is solved and two practice problems are provided.

Worksheet

Students will multiply more complex polynomials. Ten problems are provided.

Practice

These problems are very advanced and we would hope that students mastered the previous work in order to do well with these.

Drill

We will apply these skills to real world construction problems: If the perimeter of the rectangle is 30 + 8a + 16b and one of the side is 7 + 4a. Find the area of the rectangle.

Warm Up

A diverse set of problems that will help you with multiply polynomials. Example problem: A field of width 30x and length 12y is divided into 2 equal parts. What will be the new area of the part of divided field?

Multiplying Polynomials Lesson

This worksheet explains how to multiply two polynomials together. A sample problem is solved, and two practice problems are provided.

Worksheet

We will get another round of practice with this. Ten problems are provided.

Practice

Students will practice the series of concepts and skills that we have explored together. Ten problems are provided.

Review

See what you know about these problems and put it all together. A sample problem is solved and six practice problems are provided.

Quiz

Students will demonstrate their proficiency with being able to multiply polynomials. Ten problems are provided.

Check

Students will find the product of two polynomials. Three problems are provided, and space is included for students to copy the correct answer when given.