作者：Connor Gedney 7 年以前
322
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.
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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)
