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

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. 6 - Dividing Monomials - 3:26

KEY CONCEPTS:

same rules apply like when multiplying monomials, except that we are dividing. Also remember the exponent rule, when powers have the same base, subtract the exponents.

Polynomials Ep. 5 - Multiplying Monomials - 5:30

KEY CONCEPTS:

When multiplying monomials, multiply:

- numbers with numbers
- same letters with same letters

**NOTE: When multiplying the letters with one another keep in mind the exponent rule for multiplying powers with the same base (ADD the exponents)

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)

Factoring Ep.3 - Factor by Grouping - 9:50

KEY CONCEPTS:

This works only with 4 term polynomials

STEPS:
i.) Find a common factor from all 4 terms
ii.) Group the first 2 terms and then the last 2 terms
iii.) Find common factor from first group
iv.) Find common factor from second group
v.) Factor out the common factor (bracketed terms)
vi.) Answer will be a set of binomials being multiplied together
vii.) Check your answer by expanding your answer.

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

KEY CONCEPTS:

Area = length * width

Perimeter = add ALL sides together

Polynomials Episode 10: Difference of Squares - 5:26

KEY CONCEPT:

(a-b)(a+b) = a^2-b^2

Since the middle terms equals zero, of the FOIL method all we need to do it the First and the Last.

**NOTE: we subtract the first squared value with the second.