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

**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)(2x^{3} - 4x^{2} + x + 1)

Multiply (x - 1)(3x^{3} - 5x^{2} + 6x - 1)

**Multiplying Polynomials - Slightly Harder Examples**

Polynomials with two variables.

Example:

Expand:

(4x^{2} -xy + 2y^{2})^{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.

- 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.

FOIL Method.

Example:

Multiply (3x + 1)(5x - 7)

Example:

Multiply (x - 4)(x + 5)

Multiply (4x - 4)(2x + 3)

Word Problem that involves area.

Word problem that involves volume of a tank.

Example:

Multiply (x + 3)(2x

Multiply (x - 1)(3x

Polynomials with two variables.

Example:

Expand:

(4x

Cubing Binomials.

Example:

Expand:

a. (x - 2)

b. (d + 4)

Cubing Binomials with two variables.

Example:

Expand:

a. (5x - 2y)

b. (2x - y)

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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