Devin's Makeup #3

To solve anything bigger than a quadratic you can use grahing, you can use the quadratic form, or you can use the rational root theroem.
The first way to solve things bigger than a quadratic is to use factoring.
-to factor there must be an even number of terms

Ex. x^3+5x^2-4x-20=0
(x^3+5x^2)-(4x+20=0
x^2(x+5)-4(x+5)=0
(x^2-4)(x+5)=0

x^2-4=0
x^2=4
x=+-2

x+5=0
x=-5
(2,0)(-2,0)(-5,0)

The second way to solve equations bigger than a quadratic is the quadratic form.
-must have only 3 terms
-1st term must exponent must = 2nd exponent x2
-Last term must be a nmber
-do quadratic formula, factor, complete the square
-plug back in for g

Ex. 2x^4-x^2-3=0
g=x^4/2 g=x^2
(2g^2-3g)+(2g-2)
g(2g-3)1(2g-3)
(g+1)(2g-3)=0
g+1=0
g=x^2
x^2=-1
x=+-i
2g-3=0
g=3/2

The rational root thereom is the final way to solve equations bigger than an quadratic.
What to do is take the roots of the equation and use synthetic division to solve.