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Sunday, April 14, 2013

Theory - Polynomial Equations

Category: Algebra

"Published in Newark, California, USA"

Form the equation of a polynomial if the roots are -3, 5, 6, -1, and -1. 

Solution:

The degree of a polynomial depends with the number of roots whether the roots are real numbers, irrational numbers, rational numbers, and complex numbers. In this case, if there are 5 roots in the given equation, then the degree of a polynomial must be 5 also. 

The number of terms of a polynomial is equal to the number of roots plus one. In this case, if there are 5 roots in the given equation, then the number of terms of a polynomial must be 6. 

If the roots are -3, 5, 6, -1, and -1, then the equation of a polynomial will be