Polynomials Ep. 8: Special Products (a+b)2 - 6:13

KEY CONCEPTS:(a+b)^2 = a^2+2ab+b^2

- square your a value - first term of your Perfect Square Trinomial
- square your b value - third term of your Perfect Square Trinomial
- multiply your a and b value together and then multiply that value by 2 to get your middle term of your trinomial

Polynomials Ep. 7 - Multiplying Binomials

KEY CONCEPTS:

F.O.I.L Method - First - Outer - Inner - Last

Multiplying binomials form trinomials

Polynomials Ep. 9 - Special Products (a-b)2 - 5:49

Polynomials Ep. 4 - Subtracting Polynomials - 5:32

KEY CONCEPTS:

When subtracting polynomials, distribute the negative from outside of the brackets by REVERSING the signs of all the terms within the brackets.

Polynomials Ep. 3 - Adding Polynomials - 5:42

KEY CONCEPTS:

Since the function outside of the SECOND set of brackets is a positive you can simply remove the brackets and collect like terms.

LIKE TERMS: terms that have the same variable (letter) as well as the same exponent. When adding the like terms, simply add the numbers in front and keep the variable (letter) the same (i.e. 3x+5x = 8x)

x, 7x, 9x, -3x are like terms with one another. 6x^2 is NOT a like term with the previous examples because of the exponent 2 found with the variable x.

Polynomials Ep. 1 - Types of Polynomials - 4:42

KEY CONCEPTS:

7x
- the 7 represents the numerical coefficient
- the x represents the variable (literal coefficient - the unknown)
- together they would be multiplied together

Monomial - consists of one term (i.e. 7x, 5y^2, -3)

Binomial - consists of two terms (i.e. 2x-5, 3y^2 + 5y)

Trinomial - consists of three terms (i.e 3x^2-4x+7)