Bell Ringer 1. What are the “special cases” for binomials and how do they factor? 2. What is the “special case” for a trinomial and how does it factor?

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Presentation transcript:

Bell Ringer 1. What are the “special cases” for binomials and how do they factor? 2. What is the “special case” for a trinomial and how does it factor?

Solving Polynomial Equations (factoring/quadratic formula) & Find Polynomials Given Roots (multiplying) Friday September 30, 2016

Solving Polynomial Equations To solve polynomial equations… Look at the graph/table to see if you can identify a root. If you can, use synthetic division, then continue to find roots. Factor if you can. Use the Quadratic Formula when needed. Some equations can be prime.

Examples 2x3 – x2 – 136x = 0 4x4 – 64x2 = 0 2x4 – 3x3 – 3x – 2 = 0

Remember, GCF first always. Check for your Special Cases. Factoring Completely Remember, GCF first always. Check for your Special Cases. Sometimes you may have to factor more than once. Sometimes it will be Prime.

Find Polynomials Given Roots To find a polynomial given its roots, you simply multiply the factors. Remember, if the root is -3, the factor is (x+3).

Examples

Assignments Classwork: Solving Polynomial Equations Homework: Finding Polynomial Functions Given Roots

Exit Ticket 1. What do you ALWAYS do first when factoring? 2. What does it mean if the polynomial is prime? 3. How many factors can a polynomial have?