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

Factoring Ep.7: Factor Difference of Squares - 7:19

KEY CONCEPTS:

Difference of squares are binomials with the function of subtraction separating the 2 terms. NEVER a positive value.

When Factoring such special quadratics:
i.) square root the first term and the second term
ii.) place the first value as the first term of 2 sets of binomials and the second value as the second term
iii.) in one set of binomials write a negative, and the second set a positive.

ie. x^2-81 = (x+9)(x-9)

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

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.