4. (a)i Show that x-1 is a factor of x -2x2 - 11x +12 and find the other line factors of the polynomial. ii Hence or otherwise, solve the polynomial. (b) Solve x* - 6x3 + 22x2 - 30x +13 = 0 4x +6x -10 (c) Find the partial fraction decomposition of- (x +3)(x2 +x +2)
4. (a)i Show that x-1 is a factor of x -2x2 - 11x +12 and find the other line factors of the polynomial. ii Hence or otherwise, solve the polynomial. (b) Solve x* - 6x3 + 22x2 - 30x +13 = 0 4x +6x -10 (c) Find the partial fraction decomposition of- (x +3)(x2 +x +2)
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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![4. (a) i Show that x-1 is a factor of x -2x2 -11x +12 and find the other linear
factors of the polynomial.
47
ii Hence or otherwise, solve the polynomial.
(b) Solve x*- 6x3 + 22x2 -30x + 13 = 0
4x +6x -10
(c) Find the partial fraction decomposition of-
(x +3)(x +x +2)
%3D
(d) Let X = [1,10] be the Universal set and A.= [1.4]. B (2,8) and C = [3,6) be the
%3D
%3!
subsets of X. Find each of the following sets and display them on the number line and
also using interval notation.
i B'
ii An (B- C)
iii An B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ea8d948-607c-4464-a798-0ad002e774f2%2F689ef0a4-51e8-4936-8c99-4febe824882b%2Ftsb0xw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. (a) i Show that x-1 is a factor of x -2x2 -11x +12 and find the other linear
factors of the polynomial.
47
ii Hence or otherwise, solve the polynomial.
(b) Solve x*- 6x3 + 22x2 -30x + 13 = 0
4x +6x -10
(c) Find the partial fraction decomposition of-
(x +3)(x +x +2)
%3D
(d) Let X = [1,10] be the Universal set and A.= [1.4]. B (2,8) and C = [3,6) be the
%3D
%3!
subsets of X. Find each of the following sets and display them on the number line and
also using interval notation.
i B'
ii An (B- C)
iii An B
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