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Do Now

Do Now. Factor: Solve:. Unit 5: Polynomials. Day 10 : 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.

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Do Now

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  1. Do Now • Factor: • Solve:

  2. Unit 5: Polynomials Day 10: Solving Polynomials

  3. Homework • Need Help? • Textbook: • Section 6.4: Solving Polynomial Equations • Homework: SolvingWorksheet

  4. Objective • To solve polynomial equations using any method

  5. 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

  6. Solving POLYNOMIAL Send equation with “u” back through process STANDARD FORM Put any non-linear factors back through TAKE OUT GCF YES Put (a2+ ab + b2) (a2 – ab + b2) back through DIFF OF SQUARES? (a + b)(a – b) and find zeroes YES NO QUADRATIC? NO (a + b)(a2 – ab + b2) (a - b)(a2 + ab + b2) and find zeroes YES YES 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 SUM/DIFF OF CUBES? NO ALWAYS YES Substitute u, factor to find zeroes Split middle, find factors and then find zeroes QUADRATIC FORMULA NO GROUPING? There are x - ints YES GRAPH & FIND X - INTERCEPTS x – intercepts are real solutions or zeroes NO YES There are no x - ints CAN YOU USE: u = xn GRAPHING CALC? Learn more math Solutions may be imaginary

  7. Solve the polynomial

  8. Solve the polynomial

  9. Solve the polynomial

  10. Solve the polynomial

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

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