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Lesson 6.5 Factoring Special Products

Lesson 6.5 Factoring Special Products. Objective: Use difference of squares to factor Use perfect square trinomials to factor. Perfect Square Trinomial. 3 x 3 x. 2(3 x 2). 2 2. •. •. •. Perfect Square Trinomials. A trinomial is a perfect square if:

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Lesson 6.5 Factoring Special Products

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  1. Lesson 6.5Factoring Special Products Objective: Use difference of squares to factor Use perfect square trinomials to factor

  2. Perfect Square Trinomial

  3. 3x3x 2(3x2) 22 • • • Perfect Square Trinomials A trinomial is a perfect square if: • The first and last terms are perfect squares. •The middle term is two times one factor from the first term and one factor from the last term. 9x2 + 12x + 4

  4. Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. x2 + 4x + 4

  5. Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. x2– 14x + 49

  6. Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. 9x2– 15x + 64

  7. Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. 81x2 + 90x + 25

  8. Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. 36x2– 10x + 14

  9. Difference of Squares

  10. 4x2–9 2x 2x3 3   Difference of Squares A polynomial is a difference of two squares if: • There are two terms, one subtracted from the other. • Both terms are perfect squares.

  11. Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 100x2– 4y2

  12. Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 3p2– 9q4

  13. Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 9x2 – 144y4

  14. Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 16x2– 4y5

  15. Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. p8– 49q6

  16. Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 1 – 4x2

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