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Do Now

Do Now. Factor. Answers to Homework. :quintic binomial : quintic polynomial of 6 terms : linear binomial : cubic polynomial of 4 terms : quintic polynomial of 4 terms : quintic polynomial of 4 terms

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Do Now

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  1. Do Now • Factor

  2. Answers to Homework • :quintic binomial • : quintic polynomial of 6 terms • : linear binomial • : cubic polynomial of 4 terms • : quintic polynomial of 4 terms • : quinticpolynomial of 4 terms • :quartic polynomial of 5 terms • :quartic polynomial of 4 terms

  3. Unit 5: Polynomials Day 03: Factoring

  4. Homework • Need Help? • Textbook: Section 6.1: Polynomial Functions • Homework: Worksheet – factoring

  5. Objective • To factor polynomials using the GCF

  6. Factoring • What is a factor? • A term or linear expression that divides a another number or expression evenly Linear Factors: (x + 6), (x – 2) Prime Factors: 2, 2, & 3

  7. Factoring POLYNOMIAL WRITE IN STANDARD FORM TAKE OUT GCF YES DIFF OF SQUARES? YES (a + b)(a – b) QUADRATIC? NO NO YES If a = 1: (x + m)(x + n) If a  1: split middle, find factors CAN YOU FIND: m*n = ac m + n = b NO NO SOLUTION FOR FACTORING

  8. Factor POLYNOMIAL WRITE IN STANDARD FORM TAKE OUT GCF YES DIFF OF SQUARES? YES (a + b)(a – b) QUADRATIC? NO NO YES If a = 1: (x + m)(x + n) If a  1: split middle, find factors CAN YOU FIND: m*n = ac m + n = b NO NO SOLUTION FOR FACTORING

  9. Factor POLYNOMIAL WRITE IN STANDARD FORM TAKE OUT GCF YES DIFF OF SQUARES? YES (a + b)(a – b) QUADRATIC? NO NO YES If a = 1: (x + m)(x + n) If a  1: split middle, find factors CAN YOU FIND: m*n = ac m + n = b NO NO SOLUTION FOR FACTORING

  10. Factor POLYNOMIAL WRITE IN STANDARD FORM TAKE OUT GCF YES DIFF OF SQUARES? YES (a + b)(a – b) QUADRATIC? NO NO YES If a = 1: (x + m)(x + n) If a  1: split middle, find factors CAN YOU FIND: m*n = ac m + n = b NO NO SOLUTION FOR FACTORING

  11. Factor POLYNOMIAL WRITE IN STANDARD FORM TAKE OUT GCF YES DIFF OF SQUARES? YES (a + b)(a – b) QUADRATIC? NO NO YES If a = 1: (x + m)(x + n) If a  1: split middle, find factors CAN YOU FIND: m*n = ac m + n = b NO NO SOLUTION FOR FACTORING

  12. Factor POLYNOMIAL WRITE IN STANDARD FORM TAKE OUT GCF YES DIFF OF SQUARES? YES (a + b)(a – b) QUADRATIC? NO NO YES If a = 1: (x + m)(x + n) If a  1: split middle, find factors CAN YOU FIND: m*n = ac m + n = b NO NO SOLUTION FOR FACTORING

  13. Factor POLYNOMIAL WRITE IN STANDARD FORM TAKE OUT GCF YES DIFF OF SQUARES? YES (a + b)(a – b) QUADRATIC? NO NO YES If a = 1: (x + m)(x + n) If a  1: split middle, find factors CAN YOU FIND: m*n = ac m + n = b NO NO SOLUTION FOR FACTORING

  14. Did you meet today’s objectives? • How will your knowledge of factoring quadratics help you factor polynomials?

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