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.
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
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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.
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.
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
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other 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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