Algebra 2 Quiz
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POLYNOMIAL OPERATIONS
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Synthetic division can evaluate a polynomial quickly because the remainder when dividing by (x−c)(x-c) equals P(c)P(c) (Remainder Theorem). Use synthetic division on P(x)=x3−6x2+11x−6P(x)=x^3-6x^2+11x-6 with divisor (x−2)(x-2) (so c=2c=2). What is the remainder (i.e., P(2)P(2)), and is (x−2)(x-2) a factor?
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