Math 2.1-2.4 Review

odd highest degree + leading coefficient =

inc graph opp side

odd degree, -

dec graph opp side

even degree, +

both arrows point up

even degree, -

both arrows point down

number of curves (turns) in the graph = what number of degree

degree is one higher

odd multiplicity = on graph?

thru x-axis

even multiplicity = on graph?

bounce off x-axis

trying to find polynmial fxn from roots: one of roots is a fraction? ex: -1/2

denom turns into ceofficient of x - numerator (2x+1)

when to use long division

when coefficient of divisor (what u are dividing with) is nonlinear

when to use synthetic division

when coefficient of divisor is linear

4x^4 finding root with synthetic division how many total roots would it have

total number of roots is based on highest degree

remainder chart

i =1

-1 = 2

-i = 3

1 = 0

i^1, i², i³

use remainder chart 

when using conjugate shortcut

ignore the i and just square coefficients