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Published byKory Bradley Modified over 6 years ago

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Math Notebook

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Review Find the product of (m+2) (m-2) Find the product of (2y-3)^2

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Perfect Square Polynomials First Term is a perfect square Last Term is a perfect square Middle Term: Multiply the square root of the first and last terms, then double it Question: is x^2 + 12x + 36 a perfect square polynomial?

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Difference of Two Square Patterns Algebra: a^2 – b^2 = (a+b) (a-b) Example: 2x^2 -9 = (2x)^2 -3^2 = (2x+3) (2x-3)

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Examples Factor the polynomialFactored Form 1) y^2 -16 = y^2 -4^2 2) 25m^2 -36 = (5m)^2 -6^2 3) x^2 - 49y^2 = ? (y+4) (y-4) (5m +6) (5m-6) (x+7y) ( )

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Example Factor the polynomialSteps 8 – 18n^2 2 ( 4 – 9n^2) 2 ( (2)^2 – (3n)^2 2 (2+3n)(2-3n) Factor out the greatest common factor Write 4 – 9n^2 as a^2 -b^2

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Perfect Square Trinomials Example The pattern for finding the square of the binomial gives you the pattern for factoring trinomials of the form: A^2 -2ab+b^2 A^2 +2ab+b^2

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Examples

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