Unit 1 Algebra 2

Complex Conjugate

A pair of complex numbers, both having the same real part, but with imaginary parts of equal magnitude and opposite signs. For example, 3 + 4i and 3 − 4i are complex conjugates.

Complex number

A complex number is the sum of a real number and an imaginary number (a number whose square is a real number less than zero), i.e. an expression of the form where a and b are real numbers and i is the imaginary unit, satisfying i^2 = −1.

Exponential functions

A function of the form y=a·bx where a > 0 and either 0 < b < 1 or b >1.

Expression

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols

Rational number

A number expressible in the form a/b or - a/b for some fraction a/b. The rational numbers include the integers

Polynomial function

A polynomial function is defined as a function, f(x)=ax^n+ bx^n-1+...+z , where the coefficients are real numbers.

Rational expression

A quotient of two polynomials with a non‐zero denominator

Trinomial

An algebraic expression with three unlike terms

Binomial Expression

An algebraic expression with two unlike terms

Rational exponents

For a > 0, and integers m and n, with n > 0

The properties of operations

Here a, b and c stand for arbitrary numbers in a given number system. The properties of operations apply to the rational number system, the real number system, and the complex number system.

Nth roots

The number that must be multiplied by itself n times to equal a given value. The nth root can be notated with radicals and indices or with rational exponents, i.e. x1/3 means the cube root of x.

Whole numbers

The numbers 0, 1, 2, 3, ....

Standard Form of a Polynomial

To express a polynomial by putting the terms in descending exponent order.