9.6 - Factoring Quadratics when a > 1

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Presentation transcript:

9.6 - Factoring Quadratics when a > 1 Grade Distribution 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 1

9.6 - Factoring Quadratics when a > 1 Solving Quadratic Equations when a > 1 and by factoring with GCF Section 9.6 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1

Factoring Steps when a>1 Make sure the equation is all equal to ZERO Determine if there is a GCF Determine the Target Product and Target Sum of the equation Multiply the First and Last Term by drawing circles (or called the skip) List all multiples and add them Ensure the terms adds to the middle and multiplies the end Rewrite the problem with the new middle terms Make sure that one of the binomials is the same on both sides Splitting the Terms (with four terms) and drawing a line Take out the GCF and Factor by Grouping Combine like terms and multiply 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 3

Example 1 Factor 2x2 + 5x + 2 Skip SUM PRODUCT SUM What number adds up to +5 and multiplies to +4 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 4

Example 1 Factor 2x2 + 5x + 2 You must add an X to the middle term because it has to match the original equation This sign should ALWAYS be bought down 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 5

9.6 - Factoring Quadratics when a > 1 Example 1 Factor 2x2 + 5x + 2 with tiles 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 6

Example 1 Calculator Check Factor 2x2 + 5x + 2 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 7

9.6 - Factoring Quadratics when a > 1 Example 2 Factor 2x2 – 7x + 3 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 8

9.6 - Factoring Quadratics when a > 1 Example 3 Factor 3x2 + 20x – 7 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 9

9.6 - Factoring Quadratics when a > 1 Your Turn Factor 3x2 + 14x – 5 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 10

9.6 - Factoring Quadratics when a > 1 Example 4 Factor 2x2 – 9 – 3x 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 11

9.6 - Factoring Quadratics when a > 1 Example 5 Factor 4x2 – 3 + 4x 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 12

9.6 - Factoring Quadratics when a > 1 Example 6 Factor 6x2 + 5x – 6 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 13

9.6 - Factoring Quadratics when a > 1 Your Turn Factor 6x2 + 37x + 6 12/3/2018 10:44 PM 9.6 - Factoring Quadratics when a > 1 14

9.6: Solving Polynomials when a > 1 Example 7 Solve through factoring, (3x – 4)(2x + 5) = 0 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Your Turn Solve through factoring, 2x(3x + 7) = 0 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Example 8 Solve through factoring, 2x2 + 5x + 2 = 0 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Example 9 Solve through factoring, 2x2 – 35 = 3x 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Your Turn Solve through factoring, 6x2 – 15x = 99 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

Example 10 Factor and Solve 16x2 – 1 = 0 Don’t forget the xy in the middle 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Example 11 Factor and Solve 9x2 – 64 = 0 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Your Turn Solve through factoring, 25x2 – 9 = 0 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Example 12 Solve through factoring, 51x2 = 17x 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Example 13 Solve through factoring, 14x2 + 12x = 2 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Your Turn Solve through factoring, –4x2 – 31x = –8 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1

9.6: Solving Polynomials when a > 1 Assignment Worksheet 12/3/2018 10:44 PM 9.6: Solving Polynomials when a > 1