Categorias: Todos - factoring - linear - polynomial - quadratic

por Connor Gedney 6 anos atrás

293

Math Unit 1 Mind map

The text covers various types of polynomial functions and their respective forms. It begins by identifying linear, quadratic, cubic, quartic, and quintic functions, providing their mathematical expressions.

Math Unit 1 Mind map

Advanced Functions Unit 1

Polynomial Functions

Quintic
f(x) = ax^5
Quartic
f(x) = ax^4
Cubic
f(x) = ax^3
Quadratic
f(x) = ax^2
Linear
f(x) = ax

Polynomial Functions in general form:

f(x) = a(nx)^n + a(n-1)x^(n-1) + a(n-2)x^(n-2) + ... a(3)x^3 + a(2)x^2 + a(1)x + a
Notes: -

Factoring

Sum of Cubes
f(x) = a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Difference of Cubes
f(x) = a^3 - b^3 = (a-b)(a^2 + ab + b^2)
Difference of Squares
f(x) = a^2 - b^2 = (a+b)(a-b)
Factoring less simple trinomials
f(x) = ax^2 + bx +c (where a =/ 1) (DON'T FORGET TO GROUP FACTOR)
Factoring Simple Trinomials
f(x) = x^2 + bx + c (where a = 1)
Common Factoring
f(x) = ax^2 + bx (factor out commonality in each term)