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Unit 8 Lesson 4

Unit 8 Lesson 4. Let’s Review Mathematical Properties/classify numbers Multi-Step Equations Functions, Slope Absolute Value Proportions/Percent of increase/decrease Inequalities : When to switch sign? Graphing Standard/Slope-Intercept Form Sequences, Arithmetic, Geometric

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Unit 8 Lesson 4

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  1. Unit 8 Lesson 4

  2. Let’s Review • Mathematical Properties/classify numbers • Multi-Step Equations • Functions, Slope • Absolute Value • Proportions/Percent of increase/decrease • Inequalities : When to switch sign? • Graphing Standard/Slope-Intercept Form • Sequences, Arithmetic, Geometric • Growth and Decay • Pythagorean Theorem, Radicals • B.A.G.

  3. “I can…” • …factor polynomials of the form ax^2+bx+c • M(F&A)-10-3 • M(N&O)-10-2

  4. Common Polynomial Functions

  5. Recall • The form ax2 + bx + c • In “-2x2 + 3x -7” • a = -2 • b = 3 • c = -7

  6. What factors of “a∙c” add to “b”…. STEP 1 • STEP 2…write the factors together and add grouping symbols • STEP 3…look for the GCF and get two binomials that are the same

  7. What factors of “a∙c” add to “b” • Example:

  8. What factors of “a∙c” add to “b” • Example:

  9. What factors of “a∙c” add to “b” • Example:

  10. FACTOR BY GROUPING • When we group the terms in pairs, factor out the GCF, and then look for the common binomial factor….we were • “factoring by grouping” • This technique can be applied to higher degree polynomials

  11. Factor by Grouping • Some polynomials can be factored by grouping pairs of terms that have a common monomial factor • Example…

  12. Factor by Grouping • Some polynomials can be factored by grouping pairs of terms that have a common monomial factor • Example… • Hint: Look for the GCF in example 4

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