4. (a) if (x + 1) and (x + 2) are both factors of f(x) = x*-2x3-9x2 + 2x + 8, find the other two factors. Plot f(x)using Geogebra or any application to observe all roots (b) Given (x + 1) and (x – 2) are factors of f(x) = 6x* - x3 + ax² – 6x + b, find a and b, and factorise f(x) completely. %3D
4. (a) if (x + 1) and (x + 2) are both factors of f(x) = x*-2x3-9x2 + 2x + 8, find the other two factors. Plot f(x)using Geogebra or any application to observe all roots (b) Given (x + 1) and (x – 2) are factors of f(x) = 6x* - x3 + ax² – 6x + b, find a and b, and factorise f(x) completely. %3D
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
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4(a) and 4(b)
Expert Solution
Step 1
Part(a)
We have and are factors of
Now,
and are factors, therefore is also a factor.
Now, dividing by we get:
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