KEY CONCEPTS:

Multiply the outside value (term) with EVERYTHING inside of the brackets.

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)

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)

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

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.

KEY CONCEPTS:

Area = length * width

Perimeter = add ALL sides together

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.