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Algebra II Honors—Day 17

Algebra II Honors—Day 17. Goals for Today. Pick up a whiteboard, marker, and eraser. Show me your homework for a homework stamp (4 problems from the presentation) Warmup Reminder—Test #2 Corrections by Friday Progress Reports Essential Questions Classwork/Homework. Warmup.

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Algebra II Honors—Day 17

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  1. Algebra II Honors—Day 17

  2. Goals for Today • Pick up a whiteboard, marker, and eraser. • Show me your homework for a homework stamp (4 problems from the presentation) • Warmup • Reminder—Test #2 Corrections by Friday • Progress Reports • Essential Questions • Classwork/Homework

  3. Warmup IDENTIFY the following products as polynomial identities and state the result without multiplying them out. Difference of cubes Difference of squares Sum of cubes Perfect square trinomial

  4. Essential Questions (next three days) • How do I factor a polynomial expression? • How do I interpret the parts of a factored expression in context of the variables?

  5. Rules for Factoring Polynomials

  6. Step by Step • Is there a GCF? • Yes • Factor as the product of the GCF and one other factor—i.e. GCF∙(the other factor). Look at the other factor and go to the next step below with it. • No • Go the the next step.

  7. Step by Step • Is it a binomial? • Yes • Is it a difference of two squares? (a2-b2) • Yes—Factor as (a+b)(a-b) • No—Go to next step • Is it a sum of cubes? (a3+b3) • Yes—Factor as (a+b)(a2-ab+b2) • No—Go to next step • Is it a difference of cubes? (a3-b3) • Yes—Factor as (a-b)(a2+ab+b2) • No—It can’t be factored. • No • Go to the next step.

  8. Step by Step • Is it a trinomial? • Yes • Do you recognize it as a pattern for a perfect square trinomial? (a2+2ab+b2) or (a2-2ab+b2) • Yes—Factor as (a+b)2 or (a-b)2 • No—Go to next step. • Use the ac and b pattern to look for factors. • Can you find factors of ac that add up to b? • Yes—Rewrite the equation with those factors, group, and factor. • No—You can’t do anything else. If there’s no GCF, it’s a prime polynomial. • No • Go to the next step.

  9. Step by Step • Is it a four-term polynomial? • Yes • Are there two sets of terms that you can group together that have a common factor? • Yes—Group and factor. • No—If it doesn’t have a GCF, it’s a prime polynomial. • No • If it doesn’t have a GCF, it’s a prime polynomial.

  10. Let’s Practice—whiteboards • Factor completely the polynomials on the board while you refer to the rules and/or steps. • Show me your answers for each group before you go on to the next group.

  11. Homework • First page of your handout. • This will be for a homework stamp tomorrow.

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