[B] Use the Newton-divided difference formula to find a polynomial of the form P„(x) = = ax4 + bx³ + cx² + dx + e_which passes through all the following points: -1 2 5 9 15 f(x) 14 99.5 1787 15769 112582 Find: (i) a +b+с+ d +e (ii) е — d (ii) ахь (iv) a + b + c (v) e ÷ c

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 2E
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[B] Use the Newton-divided difference formula to
find a polynomial of the form
P,(x) = ax + bx³ + cx? + dx + e which
passes through all the following points:
-1 2
5
15
f (x)
14
99.5
1787
15769 112582
Find:
(i)
a + b + c + d + e
(ii)
е — d
(ii)
ахь
(iv)
a + b + c
(v)
e ÷ c
Transcribed Image Text:[B] Use the Newton-divided difference formula to find a polynomial of the form P,(x) = ax + bx³ + cx? + dx + e which passes through all the following points: -1 2 5 15 f (x) 14 99.5 1787 15769 112582 Find: (i) a + b + c + d + e (ii) е — d (ii) ахь (iv) a + b + c (v) e ÷ c
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