y -5 -2077 -4 -545 -3 -63 -2 17 -1 3. 1. 37 3 267 1127 3433 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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89% O
Mor
e Visual Effects fo x
n Pathway | NoRec x
e Schoology
Comm. Model 2r x
9 Monday and Tue X G polynomial calcu x
Question 20 of 3 x
G what
i episd.schoology.com
D YouTube W Maps
O
Super Cushioned...
Use finite differences to determine the degree of the polynomial that best describes the data:
y
-5
-2077
-4
-545
-3
-63
-2
17
-1
3
1
5
2
37
3
267
4
1127
3433
o Quartic
o Cubic
O Quintic
O Quadratic
o Linear
1
3
4
5.
6
8
9.
9 10
Next
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F3
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F5
F6
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F9
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F11
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$
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*
1
2
3
4
5
6.
7
8
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Transcribed Image Text:me File Edit View History Bookmarks People Tab Window Help 89% O Mor e Visual Effects fo x n Pathway | NoRec x e Schoology Comm. Model 2r x 9 Monday and Tue X G polynomial calcu x Question 20 of 3 x G what i episd.schoology.com D YouTube W Maps O Super Cushioned... Use finite differences to determine the degree of the polynomial that best describes the data: y -5 -2077 -4 -545 -3 -63 -2 17 -1 3 1 5 2 37 3 267 4 1127 3433 o Quartic o Cubic O Quintic O Quadratic o Linear 1 3 4 5. 6 8 9. 9 10 Next МacВook Air 80 000 DII DD F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 @ $ & * 1 2 3 4 5 6. 7 8 Q W E R Y U A G K * 00
Expert Solution
Step 1

From the given data.

There exist only one root for the function.

And the root for the function is in between,

[-3,-2]

Since at -3 the function is negative.

At -2 the function is positive.

It is known that polynomial function is continuous.

So there is point in between [-3,-2] in which the polynomial is zero.

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