AnswersMathematics III ASynthetic Division and the Remainder Theorem

Synthetic Division and the Remainder Theorem Answers

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One root of f(x) = 2x3 + 9x2 + 7x – 6 is –3. Explain how to find the factors of the polynomial.

Answer:

Since -3 is a root, (x + 3) is a factor of the polynomial. Divide 2x^3 + 9x^2 + 7x – 6 by (x + 3) using synthetic division. The resulting quotient is the quadratic expression 2x^2 + 3x – 2. Finally, f

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Which of the following facts did you include in your explanation? Select all that apply.

A
Identify the factor x + 3 from the given root –3.
B
Use synthetic division to divide the polynomial by x + 3.
C
Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.
D
Factor the quotient to find the two other factors: x + 2 and 2x – 1.

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