Level 400 Level 402
Level 401

## Ignore words

Check the boxes below to ignore/unignore words, then click save at the bottom. Ignored words will never appear in any learning session.

Ignore?
zero exponent
It's value is always 1.
negative exponent
Means to write the reciprocal of the base and use a positive exponent
Scientific notation
where a number is written into 2 parts first just the digits (with decimal point after first digit) followed by ×10 to a power
Product of Powers Property
Example: 2² * 2³ = 2²⁺³
Power of a Power Property
I <i>a</i> is any nonzero real numbers and <i>n</i> is an integer, then <color red>(ab)ⁿ = aⁿbⁿ</color>.
Power of a Product Property
(ab)^x = a^x * b^x
Quotient of Powers Property
to divide powers WITH THE SAME NON ZERO BASE, subtract the exponents a^m/a^n = a^m-n
Positive Power of a Quotient Property
If <i>a</i> and <i>b</i> are nonzero real numbers and <i>n</i> is a positive integer, then <color red>(a/b)ⁿ = aⁿ/bⁿ</color>.
Negative Power of a Quotient Property
If <i>a</i> and <i>b</i> are nonzero real numbers and <i>n</i> is a positive integer, then <color red>(a/b)⁻ⁿ = (b/a)ⁿ = bⁿ/aⁿ</color>.
index
In the radical <i>ⁿ√x</i>, which represents the <i>n</i>th root of <i>x</i>, <i>n</i> is the index. In the radical √x, the index is understood to be 2.
<i>n</i>th root
The <i>n</i>th root of a number <i>a</i>, written as ⁿ√a or <i>a</i> ^(1/n), is a number that is equal to <i>a</i> when it is raised to the <i>n</i>th power.
b^(1/n)
A number raised to the power of 1/n is equal to the <i>n</i>th root of that number.
b^(m/n)
If <i>b</i> > 1 and <i>m</i> and <i>n</i> are integers, where <i>m</i> ≥ 1 and <i>n</i> ≥ 2, then b ^(m/n) = (ⁿ√b)^m = ⁿ√b^m.
monomial
a number or a product of numbers and variables with exponents that are whole numbers
Degree of a monomial
the sum of the exponents of the variables
polynomial
A monomial or sum of monomials
Degree of a polynomial
the degree of the term in the polynomial that has the highest degree
standard form of a polynomial
is written with terms from highest to lowest degree
The coefficient of the term with the highest degree
A polynomial of degree 2.
cubic polynomial
A polynomial of degree 3.
trinomial
A polynomial with 3 terms
binomial
A polynomial with two terms
root
A root of a polynomial in one variable is a value of the variable for which the polynomial is equal 0.
FOIL
To convert Factored Form to Standard Form you must
perfect-square trinomial
A trinomial whose factored form is the square of a binomial. A perfect-square trinomial has the form <i>a² − 2ab + b²</i> or <i>a² + 2ab + b²</i>.
difference of two squares
A polynomial of the form <i>a² − b²</i>, which may be written as the product <i>(a + b)(a − b)</i>.