Unit 10 Factoring Check

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(x + 7)(x - 7) - This is a difference of squares.

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Factor by Grouping: 20x^3 - 25x^2 + 4x - 5

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(5x^2 + 1)(4x - 5) - Group terms to factor.

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Factor: 3v^2 - 4v - 7

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(3v - 7)(v + 1) - Use the quadratic formula or trial and error.

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Back

p(p - 14) - Factor out the common term.

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(x - 11)^2 - This is a perfect square trinomial.

Front

Definition: Difference of Squares

Back

A^2 - B^2 = (A + B)(A - B) - A method for factoring.

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Definition: Perfect Square Trinomial

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A^2 ± 2AB + B^2 = (A ± B)^2 - Recognizes squares in polynomials.

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Definition: Factoring by Grouping

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A method where terms are grouped to find common factors.

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(x + 3)(x - 3) - Another example of difference of squares.

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(x + 3)^2 - This is a perfect square trinomial.