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Which of the following is a factor of  2x3−x2−13x−62𝑥3−𝑥2−13𝑥−6.Select one:A.(x−1)(𝑥−1)B.(x+1)(𝑥+1)C.(x−2)(𝑥−2)D.(x+2)

Question

Which of the following is a factor of  2x3−x2−13x−62𝑥3−𝑥2−13𝑥−6.Select one:A.(x−1)(𝑥−1)B.(x+1)(𝑥+1)C.(x−2)(𝑥−2)D.(x+2)
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Solution 1

To find out which of the options is a factor of the given polynomial, we can use the Factor Theorem which states that a polynomial f(x) has a factor (x - k) if and only if f(k) = 0.

Let's test each option:

A. (x - 1) Substitute x = 1 into the polynomial: 2(1)^3 - (1)^2 - 13(1) - 6 = 2 - 1 - 13 - 6 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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Which of the following is a factor of  2x3−x2−13x−62𝑥3−𝑥2−13𝑥−6.Select one:A.(x−1)(𝑥−1)B.(x+1)(𝑥+1)C.(x−2)(𝑥−2)D.(x+2)

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