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9x²-x+2. 1. Show that a-2 is a factor of z³-6x² +12r -8. ntor of 6x² + 5x³

9x²-x+2. 1. Show that a-2 is a factor of z³-6x² +12r -8. ntor of 6x² + 5x³

Advanced Engineering Mathematics
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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1. Show that 2-2 is a factor of 2³-62² +12r - 8. 2. Show that 2r+1 is a factor of 6x4 +5x³-9x² - x +2. 3. By using synthetic division, show that z-3 is a factor of 33-197² +33x-9. +(-32₂2 f(3) 4. Find the factors of 2x³ + 11x² + 18 + 9. 5. Find the factors of a3 + 5x² + 2x -8. 6. Find the factors of 2x4 - 3x³ 4x² + 3x + 2. D 7. Solve the following equations: (a) 6x³+x²-19x+6=0 2.2 (b) 9x³+10r² - 17x = 2 (c) x4-9x² - 4x + 12 = 0 221 8. Use synthetic division to find all the factors of ³ + 6x²-9x - 54. 9. If the expression f(x) = 6x³ + 13x² - 40 - 4p is divisible by 2x value of p. - 1 ax 0. If z-52 +4 is a factor of f(x) = 2a + a² + bz-12, find the val b, and the third factor. ³+h₂²-5x + 2a is exactly divisible by ²-3x ial completely. w 22.
Transcribed Image Text:1. Show that 2-2 is a factor of 2³-62² +12r - 8. 2. Show that 2r+1 is a factor of 6x4 +5x³-9x² - x +2. 3. By using synthetic division, show that z-3 is a factor of 33-197² +33x-9. +(-32₂2 f(3) 4. Find the factors of 2x³ + 11x² + 18 + 9. 5. Find the factors of a3 + 5x² + 2x -8. 6. Find the factors of 2x4 - 3x³ 4x² + 3x + 2. D 7. Solve the following equations: (a) 6x³+x²-19x+6=0 2.2 (b) 9x³+10r² - 17x = 2 (c) x4-9x² - 4x + 12 = 0 221 8. Use synthetic division to find all the factors of ³ + 6x²-9x - 54. 9. If the expression f(x) = 6x³ + 13x² - 40 - 4p is divisible by 2x value of p. - 1 ax 0. If z-52 +4 is a factor of f(x) = 2a + a² + bz-12, find the val b, and the third factor. ³+h₂²-5x + 2a is exactly divisible by ²-3x ial completely. w 22.
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