How Do You Solve a Complex Polynomial and Trigonometry Problem?

AI Thread Summary
To solve the complex polynomial and trigonometry problem, start by addressing the equation x^3 + 5x^2 + 4x - 3 = 0. The goal is to manipulate the expression x^5 + 2x^4 - 6x^3 + 16x^2 + 8x + 20 to factor out the known polynomial. By adding or subtracting the polynomial equal to zero, simplification can be achieved. Additionally, the relationship cos(5 - 3x) = √p may provide further insights into the trigonometric aspect of the problem. Ultimately, finding the value of cot(x^5 + 2x^4 - 6x^3 + 16x^2 + 8x + 20 requires these modifications.
songoku
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Homework Statement


If x3 + 5x2 + 4x = 3 = 0 and cos (5 - 3x) = √p, find the value of cot (x5 + 2x4 - 6x3 + 16x2 + 8x + 20)

Homework Equations


trigonometry
polynomial


The Attempt at a Solution


stuck from the beginning...:-p
 
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Try modifying x5 + 2x4 - 6x3 + 16x2 + 8x + 20 such that you can pull out (by adding or subtracting) x3 + 5x2 + 4x + 3 (which you know to be equal to zero).
 
rock.freak667 said:
Try modifying x5 + 2x4 - 6x3 + 16x2 + 8x + 20 such that you can pull out (by adding or subtracting) x3 + 5x2 + 4x + 3 (which you know to be equal to zero).

OK. thanks for the help
 

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