Pre-Calc Final

Asymptotes are always in the form of a…

equation y= x= etc.

discontinuity is definitely present if…

the denominator could be 0

whats always infront of a square root as a final answer

+-

how many factors does linear factorization need?

3 factors

how to solve a system of equations?

use rref

what to do when absolute value bars are around a matrix?

find the determinate (det)

signs of matrices values for (det)

+ - +

- + -

+ - +

find determinant (det) by hand

pick one value, cancel out row & column, make smaller matrix with leftovers, product of main diagonal - product of other diagonal, simplify through

multiplicative inverse formula

conjugate/a²+b²

conjugate is…

a problem with the opposite sign ex. 2-3i is 2+3i

modulus formula is…

square root of a²+b² DONT INCLUDE ‘i’ IN b

midpoint formula

A+B/2

length formula

modulus of A-B

solutions w/ imaginary numbers always include…

their inverse, a+bi AND a-bi are solutions

basic formula for a quadratic formula of least degree

(x-(a-bi))(x-(a+bi))