Math Vocabulary 3rd Quarter Flashcards
Algebra 1
A number, variable, or the product of a number and one or more variables with whole number exponents.
Monomial
a monomial or sum of monomials.
Polynomial
the sum of the exponents of the variables in the monomial.
Degree of a monomial
a polynomial with two terms.
Binomial
a polynomial with three terms.
Trinomial
the coefficient of the first term in standard form.
Leading coefficient
when the exponents of the terms decrease from left to right.
Standard form
a set is closed under an operation within the operation performed on any two numbers in the set results in a number that is also in the set.
Closed under an operation
a method of applying the Distributive Property, a short cut for multiplying two binomials.
FOIL Method
if factors have a product of zero, one or more of the factors is equal to zero.
Zero-Product Property
when a polynomial is written as a product of factors.
Factored form
when two or more solutions of an equation are the same number.
Repeated Roots
a polynomial made up of two perfect squares being subtracted.
Difference of Squares
a polynomial that can be expressed as the square of a binomial.
Perfect Square Trinomial
grouping a of polynomials into pairs and factoring the GCF out of each pair. Then factoring out the common binomial factor.
Factoring by Grouping
a nonlinear function that can be written as y=ax^2+bx+c.
Quadratic function
U-shaped graph.
Parabola
the lowest point on a parabola that opens up or the highest point on a parabola that opens down.
Vertex
a vertical line that divides the parabola into two symmetic parts.
Axis of symmetry
a value of x for which f(x)=0. Also known as an x-intercept.
Zero of a function
the value of f(-b/2a), when a<0.
Maximum value
the value of f(-b/2a), when a>0.
Minimum value
every point of the graph moves up or down the same distance.
Vertical translation
every point on the graph moves left or right the same distance.
Horizontal translation
the graph stretches (away from the x-axis) by a factor of |a|, when |a|>1
Vertical stretch
the graph shrinks (towards the x-axis) by a factor of |a|, when 0<|a|<1.
Vertical compression
a graph stretches (away from y-axis) by a factor of 1/|a|, when 0<|a|<1.
Horizontal Stretch
a graph shrinks (toward the y-axis) by a factor of 1/|a|, when |a|>1
Horizontal compression
f(x)=a(x-h)^2 +k
Vertex Form
