2x2 – 3x – 6,Question 2. Are the polynomials x2 – 2x +1,a) Linearly independent?-x2 + 5x – 3, 3x2 + 8x – 6 € P2:YES - NO

Answered: Image /qna-images/answer/c55b1436-35ff-4a10-8da7-64eada4c9068.jpg

Answered: Question 2. Are the polynomials x? – 2x…

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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6. List all polynomials of the form x++bx+cx²+dx+e with rational coefficients that are factors of the polynomial, x¹²-1.
3x-1 x+(4+K) 1. Let z(x): = m(x) = = x- - (K + 5) and n(x) = Answer the following: " (K+7)x 2 a. State whether z(x), m(x) and n(x) are polynomials or not. Justify your answer. b. Find the domain of the functions z(x), m(x) and n(x) c. Find (zom) (x) in the simplest form. marks) d. Find (m * n−¹)(x). e. Show if m(x) is one to one function.K=3
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Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomial. P(x) = 2x3 + 9x2 + 3x – 4; a = -5, b = 1 for a = -5: -5[ 2 9. 3 -4 Since the row containing the quotient and remainder has ---Select-- a = -5 is | ---Select--- for b = 1: 1 2 Since the row containing the quotient and remainder has --Select--- b = 1 is -Select---
6. The leading coefficient of a polynomial is the coefficient of the polynomial written in standard form. of a A) first term B) last term C) constant D) sum E) product Determine whether the expression is a polynomial or not. A) Polynomial B) NOT a polynomial 7. 2x2 -x +5x-8 8. -5x +2x +x 9. x* +4x? -2/x 10. x? +x-3+- 11. X+2 12. 3x +2x +x+1
Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals. Ax) = x* + 42x2 – 343 o (x? + 49)(x + 7)(x – 7) | (x² + 49)[x + /7)(x + /7) o (x? + 49)(x - V7)(x - 7) (x² + 49)(x + 7)(x - /7) (x² + 49)[x + /7][x - /7)
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max.: ssegna cedente The polynomial x4 + 3x³8x24 is divisible with O (A) (x - 2) O (B) (x - 1) O (C) (x-2)(x - 1) O (D)(x - 2)² O (E) (x + 1)² Successivo CELE ASSESMEN ndf Ma 09.

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Question 2. Are the polynomials x? – 2x + 1, 2x2 – 3x – 6, a) Linearly independent? -x2 + 5x – 3, 3x² + 8x – 6 € P2: YES - NO