Factoring
Factor Completly x^3+3x^2-4x-12)
(x+3)(x-2)(x+2)
Find all zeros for f(x) = x^3 - 4x^2 - x + 4.
x = -1, x = 1, x = 4
Describe the end behaivor of f(x)=-4x^3+2x^2+5
x-> - infinity, f(x)->infinity
x^3 + 5x^2 + 7x + 2 by x + 3.
(x+3)(x-2)(x+2)
Real world application 1
Model Processing
Factor completely (2x^3 - 8x).
2x(x + 2)(x - 2)
Find all zeros for f(x) = x^3 - 3x^2 - 10x + 24
x = 2, x = -3, x = 4
Describe the end behavior of f(x) = -3x^4 + 5x^2 - 2.
as x to infinity, f(x) goes to - infinity.
(2x³ - 5x² - 9x + 18) by (2x - 3)
x^2-x-6
Real world application 2
Architecture
(x-3)(x+3)
Find all zeros for f(x) =
f(x)=-2x^2-12x-10
x=-5 and x=-1
-2x^6-5x^4+10x
x-> - infinity, f(x)->-infinity
(x)=2x^3+16x^2−36x+40 divided by x+10
x=-10 and x=1 +- i
Real world application 3
Data Science and Economics