Polynomials Factoring Cheat Sheet
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4POLYNOMIALS “CHEAT SHEET”
all math/8-19-07
Degree (highest power of the variable) (highest sum-of-exponents for multi-variable)
power
degree
name
th
0
0
constant
st
1
1
linear
nd
2
2
quadratic
rd
3
3
cubic
th
4
4
quartic (some books, but not all)
th
5 (& up)
5
(& up)
none
Number of terms (monomials connected by + or – signs)
term count
terminology
name
1
1-term
monomial (product of a coefficient and variables)
2
2-term
binomial
3
3-term
trinomial
4 (& up)
4-term (& up) none
Like terms – have same variable(s) to the same exponent(s), coefficients may differ
Adding (subtracting) – combine like terms by adding (subtracting) coefficients
(3 + 4x) – (2 + 3x) = 3 + 4x -2 -3x = (3-2) + (4-3)x = 1 + x
Multiplying polynomials:
F L F L
F
O
I
L
2
2
2 binomials: FOIL
(a+bx)(c+dx) = ac + adx + bcx + bdx
= ac + (ad+bc)x + bdx
O I I O
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Any polynomials: rainbow (cards)
(a + bx)(c + dx)
(deal all, to every player)
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|______ |
Distribution (or factoring), of a common factor
2
2
a (b + cx + dx
) = ab + acx + adx
(works both ways)
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(“a” can be any monomial, not just a number!)
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