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It depends on the domain. In the complex domain, a polynomial of order n must have n solutions, although some of these may be multiple solutions.
In the real domain, a polynomial of odd order must have at least one real solution, while a polynomial of even order may have no real solutions.
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Earn +20 ptsQ: Can a polynomial equation have no answer?
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Continue Learning about Math & Arithmetic
Is an algebraic equation the same as a polynomial equation?
yes
What is the degree of a polynomial equation is based on?
The highest power in the equation.
Are there only 3 degree's in a polynomial equation?
No. A polynomial can have as many degrees as you like.
What are the roots of polynomial?
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
Can a decimal be a coefficient in a polynomial equation?
Yes
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