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monomial

a number or a product of numbers and variables with exponents that are whole numbers

polynomial

A monomial or sum of monomials

Degree of a monomial

the sum of the exponents of the variables

term

An element or number in a sequence.

Degree of a polynomial

the degree of the term in the polynomial that has the highest degree

Coefficient

the decimal part

leading coefficient

The coefficient of the term with the highest degree

binomial

A polynomial with two terms

trinomial

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.

PST

Perfect square trinomial

PSB

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?

Tri-nomial

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 ___________________________________

Base

the number that is written with an exponent

exponent

A mathematical notation indicating the number of times a quantity is multiplied by itself

power

a number produced by raising a base to an exponent

product

the answer to a multiplication problem

sum

the answer to an addition problem

like term

any term with the same variables and same exponents

degree

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?

constant

A value that does not change

variables

the letters in your equation

coefficients

the numbers directly in front of your variables

operators

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