Objectives Factor perfect-square trinomials.

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Presentation transcript:

Objectives Factor perfect-square trinomials. Factor the difference of two squares.

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 3x 3x 2(3x 2) 2 2 •

Example 1: Recognizing and Factoring Perfect-Square Trinomials Determine whether each trinomial is a perfect square. If so, factor. If not explain. 9x2 – 15x + 64

Example 2: Recognizing and Factoring Perfect-Square Trinomials Determine whether each trinomial is a perfect square. If so, factor. If not explain. 81x2 + 90x + 25

Example 3: Recognizing and Factoring Perfect-Square Trinomials Determine whether each trinomial is a perfect square. If so, factor. If not explain. 36x2 – 10x + 14

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

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

Example 6 Determine whether each trinomial is a perfect square. If so, factor. If not explain. 9x2 – 6x + 4

Example 7: Recognizing and Factoring the Difference of Two Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 3p2 – 9

Example 8: Recognizing and Factoring the Difference of Two Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 100x2 – 4y2

Example 9 Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 1 – 4x2