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a number or a product of numbers and variables with exponents that are whole numbers
A monomial or sum of monomials
Degree of a monomial
the sum of the exponents of the variables
An element or number in a sequence.
Degree of a polynomial
the degree of the term in the polynomial that has the highest degree
the decimal part
leading coefficient
The coefficient of the term with the highest degree
A polynomial with two terms
A polynomial with 3 terms
Like Terms
expressions that contain the same variables to the same power
Algebraic Term
Number, variable, a product of a number and variable
Rules for Combining Like Terms
Identify like terms, Add or subtract the coefficients keep the like term.
Variable term
The product of a number and a variable
The Identity Property
When you start with something, do something to it and end up with what you started with.
multiplicative inverse
reciprocal of a number
The Number One
The Identity number of Multiplication
additive inverse
the opposite of a number
The graphing identity line
y = x, consisting of the points (1,1), (2,2), (-1,-1) etc
Four forms of Equations of lines
Standard form, point slope form, slope intercept form and The Intercept form.
The y intercept
A point on the y-axis where the line crosses, noted with the letter b in slope intercept form.
Perfect Square Trinomial
A trinomial, perfect square first term, perfect square last term, middle term is the square root of the last term doubled. It also factors into perfect square binomial.
Perfect square binomial
Any binomial raised to the second power.
Perfect square trinomial
Perfect square binomial
Y= a(x-h)^2 + k
Vertex form of a quadratic
Standard form of a quadratic
Y = ax^2 +bx + c
They are complex
If the discriminant in the quadratic formula produces a negative number, what does that tell us about the nature of the roots?
It never crosses the x axis. There are no x intercepts
If the roots of a quadratic equation are complex what does that tell us about the graph of the quadratic?
When two binomials using the same variable are multiplied the product is a _____________________________________.
Plus or Minus sign
When you take the square root of both sides of an equation to solve it, and one side produces the variable the first symbol on the other side is?
You have a double root and it is a single x intercept.
If the discriminant of the quadratic formula = zero, what type of roots do you have?
CLT, Combine Like Terms
The major rule that allows us to add or subtract polynomial expressions is ___________________________________
the number that is written with an exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself
a number produced by raising a base to an exponent
the answer to a multiplication problem
the answer to an addition problem
like term
any term with the same variables and same exponents
the highest power of a polynomial
three (3)
How many terms in the polynomial 3x+4z+2xy?
two (2)
How many terms in the polynomial 5z + 6xy?
A value that does not change
the letters in your equation
the numbers directly in front of your variables
In the polynomial 3x+2y-5; what is + and - called?
many terms
What does the word polynomial mean?
3 terms
What does the word trinomial mean?
2 terms
What does the word binomial mean?
1 term
What does word monomial mean?
What are the natural numbers?
1, 2, 3, 4, ...
What are the whole numbers
0, 1, 2, 3, 4, ...
What are the Integer numbers?
...-3, -2, -1, 0, 1, 2, 3, ... (positive and negative whole numbers)
fractions or decimals
What are rational numbers?
What is a reciprocal?
the inverse of a number
any polynomial
What is an expression?
What is a prime number (define)?
a number with only 2 factors; 1 and itself
What is a composite number (define)?
a number with 3 or more factors
What is a factor (define)?
a number you multiply by another number.
What is a multiple (define)?
repeated addition or a number that has been multiplied by another number