1 / 1

Cubic, Square Root and Rational Functions

Cubic, Square Root and Rational Functions. Factor Cubics. Radical Expressions & Equations. Rational Expressions & Equations. How do we factor cubics?. How do we simplify radical expressions?. How do we add, subtract, multiply, divide and simplify rational expressions?.

karl
Download Presentation

Cubic, Square Root and Rational Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Cubic, Square Root and Rational Functions Factor Cubics Radical Expressions & Equations Rational Expressions & Equations How do we factor cubics? How do we simplify radical expressions? How do we add, subtract, multiply, divide and simplify rational expressions? Product Property of Radicals: Quotient Property of Radicals: Radical Conjugates: Special Product Patterns: (x + y)3 = x3 + 3x2y + 3xy2 + y2 (x − y)3 = x3 − 3x2y + 3xy2 − y2 Factor Out a Monomial GCF: 2x3 − 6x2y + 6xy2 − 2y2 = 2(x3 − 3x2y + 3xy2 − y2) =2(x – y)3 Multiple Variables: a3b3 + 12a2b2 + 4ab +64 = (ab + 4)3 • Rational expressions arethe ratio of 2 polynomials. • Add, subtract, multiply & divide as for any fractions. • Then, factor (if needed) & simplify. • Check for excluded values. How do we solve rational equations? How do we solve radical equations? • Use the Cross ProductsProperty to solve as for aproportion. • Multiply by the LCD to eliminate denominators. • Isolate radical. • Square both sides. • Simplify and solve. • Check for extraneous solutions. FACTOR: SIMPLIFY: SOLVE: SIMPLIFY: SOLVE: 8x3 + 12x2y +6xy2 + y3

More Related