any unordered selection of r objects from a set of n objects
the complex numbers a+bi and a-bi
numbered pairs of the form a+√b and a-√b
the exponent in a term
degree of a polynomial
the largest degree of any term of a polynomial
difference of cubes
an expression of the form a³-b³
done by multiplying a polynomial and writing the resulting polynomial in standard form
the expression x-a is a linear factor of a polynomial if and only if the value of a is a zero of the related polynomial function
Fundamental Theorem of Algebra
if P(x) is a polynomial of degree n≥1 with complex coefficients, then P(x)=0 has at least one complex root
Imaginary Root Theorem
if the imaginary number a+bi is a root of a polynomial equation with real coefficients then the conjugate a-Bi is also a root
Irrational Root Theorem
Let a and b be rational numbers and let √b be an irrational number. If a+√b is a root of a polynomial equation with rational coefficients, then the conjugate a-√b is also a root
if a linear factor in a polynomial is repeated, the zero related to that factor is this
the number of times the related linear factor of a polynomial function is repeated in the factored form of the polynomial
for any positive integer n, n(n-1) ×...×3×2×1.0!=1
a pattern for finding the coefficients of the terms of a binomial expansion
an arrangement of items in a particular order
a monomial or the sum of monomials
the y-value of a point on the graph of a function that is higher than the nearby points of the graph
the y-value of a point on the graph of a function that is lower than the nearby points of the graph
if a polynomial P(x) of degree n≥1 is divided by (x-a), where a is a constant, then the remainder is P(a)
standard form of a polynomial
this has the terms in descending order by degree
sum of cubes
an expression of the form a³+b³
a method of dividing polynomials in which you omit all variables and exponents and perform division on the list of coefficients. You also reverse the sign of the divisor so that you can add throughout the process, rather than subtrct
Please allow access to your computer’s microphone to use Voice Recording.
We can’t access your microphone!
Click the icon above to update your browser permissions and try again
Reload the page to try again!
Press Cmd-0 to reset your zoom
Press Ctrl-0 to reset your zoom
It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.
Your microphone is muted
For help fixing this issue, see this FAQ.