Do Now Factor: Solve:. Unit 5: Polynomials Day 13: Solving Polynomials.

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Presentation transcript:

Do Now Factor: Solve:

Unit 5: Polynomials Day 13: Solving Polynomials

Homework Need Help? Textbook: Section 6.4: Solving Polynomial Equations Homework: Solving Worksheet

Objective To solve polynomial equations using any method

Factoring v. Solving Factoring means to find the linear expressions that multiply to a polynomial expression To solve a polynomial means to figure out what will make the equation equal zero. To solve a polynomial means to find the x-intercepts

Solving CAN YOU USE: u = x n YES Substitute u, factor to find zeroes POLYNOMIAL STANDARD FORM TAKE OUT GCF QUADRATIC? DIFF OF SQUARES? (a + b)(a – b) and find zeroes CAN YOU FIND: m*n = ac m + n = b If a = 1: (x + m)(x + n) If a > 1: split middle, find factors and then find zeroes NO YES NO YES NO SUM/DIFF OF CUBES? NO YES ( a + b)(a 2 – ab + b 2 ) (a - b)(a 2 + ab + b 2 ) and find zeroes Put (a 2 + ab + b 2 ) (a 2 – ab + b 2 ) back through GROUPING? YES Split middle, find factors and then find zeroes NO Put any non-linear factors back through Send equation with “u” back through process QUADRATIC FORMULA ALWAYS NO GRAPHING CALC? YES GRAPH & FIND X - INTERCEPTS x – intercepts are real solutions or zeroes There are x - ints There are no x - ints Solutions may be imaginary Learn more math

Solve the polynomial

Did you meet today’s objectives? What is the difference between factoring and solving?