a) Find a polynomial P(x) = ao + a1x+a2x² + a3x³ + a4x4 +0x5 of degree 5 such that as = 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 0 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 x²+45x then you should enter 12*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! Enter your answer for part a): -17-x+12*x^2+6*x^3-3*x^4+x^5 -17 x 12 x2 +6 x³-3x4+. Enter your answer for part b): -1-x^3 -1-x³ x
a) Find a polynomial P(x) = ao + a1x+a2x² + a3x³ + a4x4 +0x5 of degree 5 such that as = 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 0 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 x²+45x then you should enter 12*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! Enter your answer for part a): -17-x+12*x^2+6*x^3-3*x^4+x^5 -17 x 12 x2 +6 x³-3x4+. Enter your answer for part b): -1-x^3 -1-x³ x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a) Find a polynomial
P(x) = ao + a1x+a2x² + a3x³ + a4x4 +0x5
of degree 5 such that as = 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
0
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
x²+45x
then you should enter 12*x + (3/7)*x^2 + 4.5*x^3.
Do not forget to use for multiplication!
Enter your answer for part a):
-17-x+12*x^2+6*x^3-3*x^4+x^5
-17 x 12 x2 +6 x³-3x4+.
Enter your answer for part b):
-1-x^3
-1-x³
x
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