5. Determine the values of m and n for f(x)=mx³+20x²+nx-35 given that (x+1) gives a remainder of zero, and when divided by (x-2) the remainder is 45. [T5], [C3] 6. Use algebra to determine whether the following function is even, odd or neither. [A6] a) f(x)=55x4-x2-78 b) f(x)=37x³+93x

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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Question
5. Determine the values of m and n for f(x)=mx³+20x²+nx-35 given that
(x+1) gives a remainder of zero, and when divided by (x-2) the remainder is 45. [T5],
[C3]
6. Use algebra to determine whether the following function is even, odd or neither. [A6]
a)
f(x)=55x4-x2-78
b) f(x)=37x³+93x
Transcribed Image Text:5. Determine the values of m and n for f(x)=mx³+20x²+nx-35 given that (x+1) gives a remainder of zero, and when divided by (x-2) the remainder is 45. [T5], [C3] 6. Use algebra to determine whether the following function is even, odd or neither. [A6] a) f(x)=55x4-x2-78 b) f(x)=37x³+93x
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