# Solving polynomials

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Determine the total number of solutions (including complex and repeated) of the following equations.

1.) 4x^3 - 7x^2 + 5x - 9 = 0

2.) 8x^6 - 3x^4 - 11x^3 - 2x^2 + 4 = 0

3.) x^5 + 2x^3 - 4x^2 + 7x = 12

4.) -3x^4 + 2x^3 + 15x^2 - x + 1 = 8

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##### Solution Summary

This shows how to determine the number of solutions to polynomial equations.

##### Solution Preview

According to Fundamental Theorem of Algebra:

Every polynomial equation having complex coefficients and degree n>=1 ( greater than or ...

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