Chapter 8 Flashcards
(17 cards)
The sum of two monomials
Bionomial
The sum of the exponents of all it’s variables
Degree of a Monomial
The greatest degree of any term in the polynomial
Degree of a Polynomial
Two perfect squares separated by a subtraction sign
a^2-b^2=(a+b)(a-b) or a^2-b^2=(a-b)(a+b)
Difference of Two Squares
To express a polynomial as the product of monomials and polynomials - finding the completely factored form
Factoring
The use of the distributive property to factor some polynomials having four or more terms
Factoring by Grouping
To multiply two binomials, find the sum of the products of the first terms, the outer terms, the inner terms, and the last terms - shortcut version of distributive property for multiplying bionomials
FOIL method
The coefficient of the term with the highest degree in a polynomial
Leading Coefficient
A monomial or a sum of monomials
Polynomial
A polynomial that cannot be written as a product of two polynomials with integral coefficients
Prime Polynomial
An equation in the form ax^2+bx+c=0, where a does not equal 0.
Quadratic Equation
An expression in the variable with a degree of 2 written in the form ax^2+bx+c
Quadratic Expression
Before taking the square root of each side of a quadratic equation, you must isolate the term that contains the squared variable
Square Root Property
A polynomial that is written with the terms in order from greatest degree to least degree
Standard form of a Polynomial
The sum of three monomials
Trinomial
Where one factor is a zero
Ex. 3(0)=0
Zero Product Property
A trinomial that is the square of a bionomial
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2
or (a-b)^2=(a-b)(a-b)=a^2-2ab+b^2
Perfect Square Trinomial
