1. Confirm that (20x³ — 7x² +5x + 10)(4x² + 12x − 3) = 80x5 + 212x4- 124x³ + 121x² +105x - 30. 2. Confirm that 12x³ +5x²–2x+3 3x²-7x+4 with a remainder of 59x - 41. 3. Confirm that 6x³+4x² -5 12x³7x²+3x+9 when x = 2. = 4x+11 = 0.7108 -
1. Confirm that (20x³ — 7x² +5x + 10)(4x² + 12x − 3) = 80x5 + 212x4- 124x³ + 121x² +105x - 30. 2. Confirm that 12x³ +5x²–2x+3 3x²-7x+4 with a remainder of 59x - 41. 3. Confirm that 6x³+4x² -5 12x³7x²+3x+9 when x = 2. = 4x+11 = 0.7108 -
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:1. Confirm that (20x³ — 7x² +5x + 10)(4x² + 12x − 3) = 80x5 + 212x4 -
124x³ + 121x² +105x - 30.
2. Confirm that 12x³ +5x²–2x+3
3x²-7x+4
with a remainder of 59x - 41.
3. Confirm that 6x³+4x² -5
12x³7x²+3x+9
when x = 2.
5.
4. Decompose into partial fractions of:
r+5x+8
(x − 3)(x+1)³²
2x³ +3x²-x+16
x²+2x-3
a.
b.
= 4x+11
Solve: x³7x + 6 = 0.
= 0.7108
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