Lesson 6 5 Factoring Special Products Objective Use

Lesson 6. 5 Factoring Special Products Objective: • Use difference of squares to factor • Use perfect square trinomials to factor

Perfect Square Trinomial

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. 9 x 2 3 x • + 12 x + 4 3 x 2(3 x • 2) 2 • 2

Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. x 2 + 4 x + 4

Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. x 2 – 14 x + 49

Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. 9 x 2 – 15 x + 64

Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. 81 x 2 + 90 x + 25

Perfect Square Trinomial Determine whether each trinomial is a perfect square. If so, factor. If not explain. 36 x 2 – 10 x + 14

Difference of Squares

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. 4 x 2 – 9 2 x 2 x 3 3

Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 100 x 2 – 4 y 2

Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 3 p 2 – 9 q 4

Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 9 x 2 – 144 y 4

Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 16 x 2 – 4 y 5

Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. p 8 – 49 q 6

Difference of Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. 1 – 4 x 2