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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

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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