Definitions

Question 1

Natural Number

Answer 1

The natural numbers are the following numbers. 1,2,3,4… They are also called the positive integers or the counting numbers.

Question 2

Whole Number

Answer 2

The whole numbers are the following numbers.

0,1,2,3,4… They include 0 and the natural numbers.

Question 3

Integers

Answer 3

The integers are the following numbers. -5,-4,-3,-2,-1,0,1,2,3,4,5…. They include negative numbers, 0, and positive numbers

Question 4

Monomial

Answer 4

A monomial is a product of numbers and powers and variables. Example 2x^5y^3

Question 5

Polynomial

Answer 5

A Polynomial is a sum of monomials. Example: 2x^5y^3 + 3t

Question 6

Real Numbers

Answer 6

Includes…
Natural Numbers: 1,2,3,4…
Integers: -3,-2,-1,0,1,2,3…
Rational Numbers include the numbers above and numbers such as positive and negative fractions.
Irrational numbers include the square root of 2, sqrt 3, and pi, etc.

Question 7

Degree of a monomial

Answer 7

The degree of a monomial is the sum of the exponents and its variables. Example The degree of 6y^2z^5 is 7

Question 8

The Degree of a polynomial …

Answer 8

is the highest degree of its terms. Example: For 2t^3+1-t^5, the term with the highest degree is -t^5 so the degree is 5

Question 9

Standard Form

Answer 9

A general term meaning “written down in the way most commonly accepted”

A polynomial in one variable is in standard form if the exponents on its variable decrease from left to right.

Question 10

Leading term and leading coefficient:

Answer 10

The leading term of a polynomial is the first term when the polynomial is in standard form.
The leading coefficient of a polynomial is the coefficient of the leading term.
The coefficient of a term is the number multiplying the variable.
(When there is no variable, the coefficient is the term itself.) For our polynomial, the leading term is u^3 , which is equal to 1u^3 . So, the leading coefficient is 1.

Question 11

What is a prime number and what are the first six prime numbers?

Answer 11

A number that can only be divided by 1 and it’s self is called a prime number. Examples of prime numbers are 2, 3, 5, 7, 11, and 13. The number one is not considered a prime number because one goes into everything.

Question 12

What is the Quadratic Equation?

Answer 12

x = -b plus or minus the srt b^2-4ac/2a

Question 13

What is the Quadratic Formula?

Answer 13

ax^2 + bx + c = 0