# Multiply Polynomials

Related Topics:
Common Core (Algebra)
Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students 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.

### Suggested Learning Targets

• Understand the definition of a polynomial.
• Understand the concepts of combining like terms and closure.
• Add, subtract, and multiply polynomials and understand how closure applies under these operations.
Common Core: HSA-APR.A.1

Multiplying Polynomials
FOIL Method.
Example:
Multiply (3x + 1)(5x - 7) Multiplying Binomials Using the Distributive Property
Example:
Multiply (x - 4)(x + 5)
Multiply (4x - 4)(2x + 3)
Multiplying Polynomials
Word Problem that involves area. Multiplying Polynomials
Word problem that involves volume of a tank.

Multiplying Polynomials - Slightly Harder Examples
Example:
Multiply (x + 3)(2x3 - 4x2 + x + 1)
Multiply (x - 1)(3x3 - 5x2 + 6x - 1)
Multiplying Polynomials - Slightly Harder Examples
Polynomials with two variables.
Example:
Expand:
(4x2 -xy + 2y2)2
Multiplying Polynomials - Slightly Harder Examples
Cubing Binomials.
Example:
Expand:
a. (x - 2)3
b. (d + 4)3 Multiplying Polynomials - Slightly Harder Examples
Cubing Binomials with two variables.
Example:
Expand:
a. (5x - 2y)3
b. (2x - y)3

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