Algebra II Semester 1 Final version 2

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What is Synthetic Division?

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Synthetic Division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c). It uses the coefficients of the polynomial and is faster than long division.

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Use coefficients [1, 4, -5, 2] and divide by -2.

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g(3) = 89.

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Identify the sequence that is NOT an arithmetic sequence: 5, 10, 15, 20,...; 12, 9, 6, 3,...; 4, 8, 12, 16,...; 2, 4, 8, 16,...

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The sequence 2, 4, 8, 16,... is NOT an arithmetic sequence.

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What is an arithmetic sequence?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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What is the common difference in the arithmetic sequence 5, 10, 15, 20,...?

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The common difference is 5.

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Determine a possible rule for the sequence: 2, 4, 6, 8,...

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What is the formula for the nth term of an arithmetic sequence?

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How do you evaluate a polynomial function at a specific value?

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To evaluate a polynomial function at a specific value, substitute the value into the polynomial and simplify.