The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
<h3>What is polynomial?</h3>
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).
The polynomial equation given in the problem is,

Let the factor form of the polynomial is f(p). Thus,

Using the formula of difference of squares, we get,

Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
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Answer:
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Step-by-step explanation:
Consider the equation:

Subtracting '4' from both the sides of the equation, we get as


Squaring on both the sides of the equation, we get


Subtracting '2' from both the sides of the equation, we get

x=14
Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.
Hence, it is not an extraneous solution.
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