Is it possible to have a polynomial that has a different degree and a different root? example?

Well the fundamental theorem of algebra states that a polynomial raised to a power can only have the same number of roots as the power or an even number of roots fewer than the power.

Step-by-step explanation:

For example, a quadratic polynomial is raised to the power of 2, therefore this polynomial can have 2 roots or 0 roots.

A cubic polynomial, which is raised to the power of 3, can either have 3 or 0 roots

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step-by-step explanation: