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}

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)

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