Chapter 7 Vocabulary

25 terms

binomial

polynomial with exactly two terms

coefficient

the numerical factor of a monomial

constant

a monomial with no variables

continuous function

a function whose graph is an unbroken line or smooth curve

cubic polynomial

n=3; 4x^3-x^2+2x-3

degree of a monomial

sum of the exponents of the variables in the monomial

degree of a polynomial

the degree of the monomial with the highest degree after simplification

difference of two cubes

a^3-b^3=(a-b)(a^2+ab+b^2)

discontinuous function

a function whose graph has breaks or holes in it

end behavior

what happens to a polynomial function as its domain values get very small and very large

the coefficient of the term with the highest degree

local maximum

for a function, f, f(a) is a local maximum if there is an interval around 'a' such that f(a)>f(x) for all values of 'x' in the interval, where 'x' doesn't equal 'a'

local minimum

for a function, f, f(a) is a local minimum if there is an interval around 'a' such that f(a)<f(x) for all values of 'x' in the interval, where 'x' doesn't equal 'a'

long division

a way a polynomial can be divided by a divisor of the form x-r by using long division

monomial

a numeral, variable, or product of a numeral and one or more variables

polynomial

a monomial or a sum of terms that are monomials

polynomial function

a function that is defined by a polynomial

n=2, -x^2+11x-5

quintic polynomial

n=5, -2x^5+3x^4-x^3+3x^2-2x+6

Remainder Theorem

If the polynomial expression that defines the function 'P' is divided by x-a, then the remainder is the number P(a)

roots

solutions to an equation

standard form

Ax+By=C, where A & B aren't both 0

sum of two cubes

a^3+b^3=(a+b)(a^2-ab+b^2)

synthetic division

a method of division of a polynomial by a binomial in which only coefficients are used

trinomial

polynomial with 3 terms