precal unit 1 vocab

Monomial

an expression with only one term

Product Rule

derivative of a product of two functions is the first function times the derivative of the second function plus the second function times the derivative of the first function

Power Rule

d/dx x^n = nx^n-1

Quotient Rule

g(x)f'(x)-f(x)g'(x)/g(x)^2

Negative Exponent Rule

Flip the exponents and turn them positive.

Zero Exponent Rule

Anything raised to the zero power = 1

Polynomials

an algebraic expression containing 1 or more terms (monomial, binomial, or trinomial)

Standard Form

Ax+By=C

difference of squares

x² - y² = (x + y)(x - y)

sum of cubes

x³ + y³ = (x + y)(x² - xy + y²)

difference of cubes

x³ - y³ = (x - y)(x² + xy + y²)

rational expression

an algebraic fraction whose numerator and denominator are polynomials

imaginary number

the square root of a negative number

complex number

any number that can be written in the form a+bi, where a and b are real numbers and i is the imaginary unit

Quadratic Formula

x = -b ± √(b² - 4ac)/2a

simple inequality

one inequality
can be graphed

compound inequality

Two or more inequalities joined together by "and" or "or"

set notation

notation in which the solution is represented by a set of values

interval notation

an expression that uses inequalities to describe subsets of real numbers