__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