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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Polynomials and Exponents
Key Terms
binomial
A polynomial consisting of two terms.
constant
A number that is fixed.
degree of a polynomial
The highest degree of any of the terms of a polynomial.
difference of two squares
An expression of the form a
2
- b
2
.
dividend
The number a in a/b.
divisor
The number b in a/b.
exponent
A value that indicates the number of times a base is used as a factor.
FOIL
first, outer, inner, last
leading coefficient
The coefficient of the first term when a polynomial is written with decreasing exponents.
monomial
A polynomial that has one term.
polynomial
An algebraic expression consisting of one or more terms in which the only allowable exponents are the whole numbers {0, 1, 2, 3, ...}.
quotient
The result of division, or the expression a/b.
scientific notation
A number written in the form a x 10
n
in which 1 ≤ a < 10 and
n
is an integer.
sum of two cubes
An expression of the form a
3
+ b
3
.
trinomial
A polynomial consisting of three terms.
5x
2
- 4x + 3 is a trinomial.
2002 McGraw-Hill Higher Education
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