algebraII week 2 concept check

# algebraII week 2 concept check - So(x)²(4)² ⇒(x 4(x 4...

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Post a 50-word response to the following: How do you determine if a polynomial is the difference of two squares? Recall that the differences of squares is: a² - b² = (a - b)(a + b) To determine if a polynomial is the difference of two squares, one of the terms must be negative, and both terms must be perfect square. E.g. x² - 16 x² and 16 are both the perfect squares. Let: a² = x² a = x b² = 16 b = √16 b = 4
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Unformatted text preview: So: (x)² - (4)² ⇒ (x - 4)(x + 4) One of the misconceptions that people have when determining the nature of polynomial is that a² + b² is factorable. Even though it can be factored in terms of i, it's impossible to factor that expression. Also note that you can factor nonnegative and not perfect terms. E.g. x² - 2 Let: a² = x² a = x b² = 2 b = √2 So: x² - 2 = (x - √2)(x + √2)...
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