a. Evaluate P (x) = x^3- 2x^2- 5x + 6 at x = 1 and x = -1. b. Use synthetic division to get the remainder of ?(?) over ?+1 and ?(?) over ?−1 c. Compare values of ?(?) over ?+1and ?(?) over ?−1 with the values of P(1) and P(-1). What conclusion can you draw from these?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Another way to find roots is by using synthetic division, remainder and factor theorems.
Perform the following exercises:

a. Evaluate P (x) = x^3- 2x^2- 5x + 6 at x = 1 and x = -1.

b. Use synthetic division to get the remainder of ?(?) over ?+1 and ?(?) over ?−1

c. Compare values of ?(?) over ?+1and ?(?) over ?−1 with the values of P(1) and P(-1).
What conclusion can you draw from these?

d. Which is a factor of P(x), x-1 or x+1? Explain.
Which is a root of P(x), 1 or –1? Explain.

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