Math Unit 1 Mind map

Mer som dette

Quadratic Mind Map

Ved Patel Sheil

Steps for Factoring Quadratic Expression

Ved Valentina Posse

Quadratics Functions

Ved Prajapati Mahi

Polynomials

Ved Timilsina Aarav

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)