Perfect Square Trinomials

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Slide 1  Perfect Square Trinomials
 2.3 – pp. 4546

Slide 2  Recognizing:
 (a + b)2 = a2 + 2ab + b2
 (a + b)2 = a2 – 2ab + b2
 These trinomials are both squares because they are each the product of two (2) equal factors. Trinomials like these (squares) will have these characteristics:
 1. Two (2) terms, such as a2 and b2, must be squares.
 2. The absolute value of the other term must be equal to twice the product of the square roots of the terms that are squares.

Slide 3  Factoring a Perfect Square Trinomial:
 If the trinomial is not already in the form a2 + 2ab + b2, with the squared terms on the ends and product of the terms in the middle, then rewrite it in this form.
 Then write down the square roots of the first and last terms.
 Then write between them the sign of the trinomial’s middle term.
 Write the binomial to be squared.
 NOTE: When factoring trinomials, usually only the positive (+) square root is taken.

Slide 4  Example:
 M2 – 8m + 16