Polynominals

1. Definitions

1.1. Term - an expression formed from the product of numbers and/or variables.

1.2. Variables - a letter used to represent an unknown number

1.3. Coefficient - a non-changing variable

1.4. Degree - the sum of exponents on the variables

1.5. Polynominal - an expression where there is a sum of terms each of which is the product of a constant and one or more variables

2. Factoring

2.1. 16x2y – 24xy3 + 8xy = (8xy)(2x – 3y2 + 1)

2.2. Simplifying expressions to their most factored forms

2.3. New node

3. Algebra Tiles

3.1. Using a model of math tiles to solve an equation

3.2. Using tiles

4. Greatest Common Factor/ Multiples

4.1. 12 = 3 x 4 = 3 x 2 x 2 = 3 x 2^2

4.2. 18 = 3 x 6 = 3 x 3 x 2 = 3^2 x 2

4.3. Factoring

4.4. 4 = 4, 8, 12, 16, 24, 28, 32...

4.5. 6 = 6, 12...

5. Example Multiplication of Polynomials

5.1. 2(x+1)

5.2. x(x-3) + 4(2+x)

5.3. (x^2+1)(x+3)

5.4. x^2 + 5(x^2-2x+1)

5.5. (x^2+2)(x^2+6x-9)

6. Example Factoring of Polynomials

6.1. (x^2-9)

6.2. (x^2+5x-25)

6.3. (x^3+x^2+2x+2)

7. Multiplication

7.1. 2y x 3y = 6y^2

7.2. (x+1)(x-1) = x^2-1

7.3. x(x^2+2x+1) = x^3+2x^2+x

7.4. Multiplying using tiles

7.5. (x2 + 2x + 3)(2x2 – 3x + 1) = 2x4 + x3 + x2 – 7x + 3

7.6. Multiply the expressions together

8. Nomials

8.1. Monomials - an expression with only one term

8.2. Binomials - an expression with two terms

8.3. Trinomials - an expression with three terms

8.4. Polynomials - an expression with four or more terms

9. Algebraically

9.1. To solve an expression using mathematical terms such as with numbers and signs.

9.2. Using numbers and terms