Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show that x=-3 is a solution to the polynomial equation but x=3 is NOT a solution. b) Explain, without any detailed calculation that x=2 cannot be a solution to the polynomial. c) Factor the polynomial completely.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0
a) Use synthetic division to show that x=-3 is a solution to the polynomial equation
but x=3 is NOT a solution.
b) Explain, without any detailed calculation that x=2 cannot be a solution to the
polynomial.
c) Factor the polynomial completely.
d) Find all real and complex (if any) solution.
Transcribed Image Text:Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show that x=-3 is a solution to the polynomial equation but x=3 is NOT a solution. b) Explain, without any detailed calculation that x=2 cannot be a solution to the polynomial. c) Factor the polynomial completely. d) Find all real and complex (if any) solution.
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