a) Find a polynomial of degree 5 such that as P(x)=ao+a1x+a2x² + a3x³ + a4x4 +asx³ -1, and whose graph passes though the following points: (-2,7), (-1,0), (1,-2), (2,-9), (3,-28) b) Find a polynomial of the lowest possible degree which passes through the points given in part a). How to enter polynomials. 10- 0 -10 -20 -30- -2 -1 1 2 3 ^ Enter the formula for a polynomial using to denote multiplication and to denote the exponent. For example, if the answer is the polynomial 3 P(x) 1-2x + x² +4.5x³ then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! +45 Enter your answer for part a): Enter your answer for part b):

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Help
a) Find a polynomial
of degree 5 such that as
P(x)=ao+a1x+a2x² + a3x³ + a4x4 +asx³
-1, and whose graph passes though the following points:
(-2,7), (-1,0), (1,-2), (2,-9), (3,-28)
b) Find a polynomial of the lowest possible degree which passes through the points given in part a).
How to enter polynomials.
10-
0
-10
-20
-30-
-2
-1
1
2
3
^
Enter the formula for a polynomial using to denote multiplication and
to denote the exponent. For example, if the answer is the polynomial
3
P(x) 1-2x + x² +4.5x³
then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3.
Do not forget to use for multiplication!
+45
Enter your answer for part a):
Enter your answer for part b):
Transcribed Image Text:a) Find a polynomial of degree 5 such that as P(x)=ao+a1x+a2x² + a3x³ + a4x4 +asx³ -1, and whose graph passes though the following points: (-2,7), (-1,0), (1,-2), (2,-9), (3,-28) b) Find a polynomial of the lowest possible degree which passes through the points given in part a). How to enter polynomials. 10- 0 -10 -20 -30- -2 -1 1 2 3 ^ Enter the formula for a polynomial using to denote multiplication and to denote the exponent. For example, if the answer is the polynomial 3 P(x) 1-2x + x² +4.5x³ then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! +45 Enter your answer for part a): Enter your answer for part b):
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