Factoring Using Special Patterns

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Presentation transcript:

Factoring Using Special Patterns Notes 5.5 (Day 1) Factoring Using Special Patterns

“Mono Out” or “Factor Out” Look at the terms in the quadratic, if all of the three terms have a common factor, factor out the common factor. Example:

“Difference of Two Squares” Two terms The first and last terms are perfect squares The sign between MUST be subtraction Make two parentheses ( + )( - ) The first term in each part will be the square root of the first term. The second term in each part will be the square root of the last term.

Factor.

Factor:

“Perfect Square Trinomial” 3 terms The first and last terms are perfect squares The equation is either or

“Perfect Square Trinomial” If the trinomial is in the form the answer will be with the first term in the parentheses the square root of ax2 and the second term in the parentheses the square root of c. If the trinomial is in the form ax2 – bx + c the answer will be ( - )2

Perfect Square Trinomials: If you factor a trinomial, and the two terms are identical, you have factored a perfect square trinomial. Notice, the first and last terms are perfect squares.

Factor:

Homework: p 252 3-11, 19-36