Factoring Ep.1: Guideline to Factoring - 6:34

KEY CONCEPTS:

First step to factoring, is to find a common factor.

After that, regardless of whether there is a common factor or not is to count the number of terms.

Based on that will determine how to Factor

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

Factoring Ep.5: Factor Quadratics (Trinomials), a not = 1 - 10:16

KEY CONCEPTS:

Notice that your trinomial is a quadratic function, where the value of a is NOT equal to 1.

Use the sum-product rule
i.) find 2 numbers that multiply to your "a" and "c" value, that ALSO ADD up to your "b" value.
ii.) expand your middle term
iii.) factor by grouping
iv.) answer should be a set of binomials

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

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)

Factoring Ep.4: Factor Quadratics (Trinomials), a=1 - 13:53

KEY CONCEPTS:

Factoring trinomials in the form of x^2+bx+c

i.) Find SUM-PRODUCT: ac-value and b-value
ii.) Square root x^2 value and open up a set of binomial brackets
iii.) Write x (or whatever variable is squared as your trinomials first term) as your first term in both brackets
iv.) Write your SUM-PRODUCT numbers as the second variables in each set of binomials

Polynomials Ep.11: Area Perimeter & Polynomials - 5:33

KEY CONCEPTS:

Area = length * width

Perimeter = add ALL sides together