polynomials

A polynomial is a term or a finite sum of terms in which all variables have whole number exponents, and no variables appear in denominators. Examples of polynomials include

$5X^4+2x^3+6x,8m^3+9m^{2}n-6m{n}^2+3n^3,10p,and-9$

An expression such as $9p^4$ is a term; the number 9 is the coefficient, p is the variable, and 4 is the exponent.

Order of Operations

1. Expressions in parentheses
2. Powers are performed next, going from left to right.
3. Multiplication and division are performed next, going from left to right.
4. Addition and subtraction are performed last, going from left to right.

Properties of Real Numbers

Examples:

• 2 + x = x + 2 Commutative property of addition
• x.3 = 3x Commutative property of multiplication
• (7x)x = 7(x . x) = 7x^2 Associative property of multiplication
• 3(x + 4) = 3x + 12 Distributive property

type of numbers

N natural numbers

(1→infinity)

W whole numbers (0→infinity)

Z Integers

(-infinity, …,-2,-1,0,1,2 ,… infinity)

Q Rational Numbers or fractions (-infinity, …,-2,-1.5,-1,0,1,1.5,2 ,… infinity)

Irrational Numbers

real numbers