A Polynomial P of Degree 3 with Integer Coefficients Has

question 5

Multiple Choice

A polynomial P of degree 3 with integer coefficients has zeroes x = 3, x = -9, and x = 1. Use the factor theorem to write the polynomial in factored form.

• A) P(x) = (x + 3)(x - 9)(x + 1)
• B) P(x) = (x - 3)(x + 9)(x - 1)
• C) P(x) = (3x + 1)(-9x + 1)(x + 1)
• D) P(x) = (-3x + 1)(9x + 1)(-x + 1)

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Definitions:

Conditioned Stimulus

A previously neutral stimulus that, after becoming associated with the unconditioned stimulus, eventually triggers a conditioned response.

Unconditioned Stimulus

A stimulus that naturally and automatically triggers a response without the need for prior learning.

Variable-interval

In the context of psychology, a schedule of reinforcement where a response is rewarded after an unpredictable amount of time has passed.

Reinforcement Principles

Psychological concepts that involve strengthening a behavior by providing a desirable consequence or removing an undesirable one.