Polynomials & Factoring Flashcards
How to find a degree of a monomial
The sum of the exponents
How to find the degree to a Polynomial
The highest exponents of all terms in the expression
What is standard form?
The degree of its monomial terms decreases from left to right
What is the name of a Polynomial based on
It’s degree and number of terms
What is the name of something with the degree of one?
Linear
What is the name of something with the degree of 0
Constant
What is something to the degree of 6
Sixth degree
What is something to the degree of 3
Cubic
What is something to the degree of 2
Quadratic
What is an expression with 1 term called
Monomial
What is an expression with 3 terms called
Trinomial
What is an expression with 2 terms called
Binomial
How do you multiply monomials and trinomials
Use destibutive property
- 2expon3 (9x expon4 -2x expon3 + 3)
- 18x expon7 + 4x expon6
How to multiply binomials
Simply each product using distributive property, or foil
How do you multiply special cases
Distributive property
Factoring Polynomials
How to factor x expon2 + bx + c
Where b>0, c>0
Find factors of c
Which 2 factors add up to b?
Then write as ( x+m ) ( x+n )
Factoring where b<0,c>0
Find factors of c
Which factors add up to bWrite in form
(X-m) (x-n )
Factoring when c<0
One positive one negative
x-m ) (x+n
Factor a expon2 + bx + c
Find factors of ac
Add up to b and rewrite as the b term
Factoring special cases
Find factors of c.
Write as (x+6) (x+6)
Simplifies (x+6) expon2
How to factor by grouping
Circle first two and last two.
You know what to do from there
