I need help finding a faster way to find all the zeros. I found all the possible zeros and I think plugging it in one by one is very time consuming

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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I need help finding a faster way to find all the zeros. I found all the possible zeros and I think plugging it in one by one is very time consuming.
Given the polynomial function:
a)
P(x) = 4x4- 3x -12x2 +x + 6
List all the "possible" rational zeros of P(x)
factor of 6 {:1, £2,23,16
foctor of 4
=7
{1,12,14
2.
b)
Find all the zeros and factor P(x)
XI4 -3 -12 16
4.
|-1 |니-3-12 | 6
-4
75 -6
4 -7 -5 6 Ø
24 -3 -12 I 6
10 -4-6V
8.
-2-30
2.
Transcribed Image Text:Given the polynomial function: a) P(x) = 4x4- 3x -12x2 +x + 6 List all the "possible" rational zeros of P(x) factor of 6 {:1, £2,23,16 foctor of 4 =7 {1,12,14 2. b) Find all the zeros and factor P(x) XI4 -3 -12 16 4. |-1 |니-3-12 | 6 -4 75 -6 4 -7 -5 6 Ø 24 -3 -12 I 6 10 -4-6V 8. -2-30 2.
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