Question

determine whether the expression is a polynomial. if it is a polynomial, find the degree and determine whether it is a
$c^{4}-2c^{2}+1$
select choice
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Explanation:

Step1: Check polynomial criteria

A polynomial has non-negative integer exponents on variables, no variables in denominators, radicals, or negative exponents. The expression $c^4 - 2c^2 + 1$ meets these rules.

Step2: Find the polynomial degree

The degree is the highest exponent of the variable. Here, the highest exponent of $c$ is 4.

Step3: Classify polynomial type

A polynomial with 3 terms is a trinomial.

Answer:

The expression is a polynomial. Its degree is 4, and it is a trinomial.