Can we make the polynomial a(x) = polynomials? h₁(x) = – 1 h₂(x) = x + 2 h3(x) = x² + 1 Answer: Yes, this is possible. No, this is not possible. a(x) = = - 2x² If so, fill in the blanks to make the statement true. [If no solutions are possible, enter DNE into each blank.] h₁(x) + - 3x - 9 by a linear combination of the following h₂(x) + h3(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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Related questions
Question
Can we make the polynomial a(x) =
polynomials?
h₁(x) = – 1
h₂(x) = x + 2
h3(x) = x² + 1
Answer:
Yes, this is possible.
No, this is not possible.
a(x) =
=
- 2x²
If so, fill in the blanks to make the statement true. [If no solutions are possible, enter DNE into each
blank.]
h₁(x) +
- 3x - 9 by a linear combination of the following
h₂(x) +
h3(x)
Transcribed Image Text:Can we make the polynomial a(x) = polynomials? h₁(x) = – 1 h₂(x) = x + 2 h3(x) = x² + 1 Answer: Yes, this is possible. No, this is not possible. a(x) = = - 2x² If so, fill in the blanks to make the statement true. [If no solutions are possible, enter DNE into each blank.] h₁(x) + - 3x - 9 by a linear combination of the following h₂(x) + h3(x)
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