# Perfect Square Trinomials

Created 3 years ago

Duration 0:06:19
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Slide Content
1. ### Slide 1 - Perfect Square Trinomials

• 2.3 – pp. 45-46
2. ### 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.
3. ### 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.
4. ### Slide 4 - Example:

• M2 – 8m + 16