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1) The factorized form of the polynomial is .

2) The factorized form of the polynomial is .

3)  , . (Option D)

4) , . (Option A)

Step-by-step explanation:

All exercise are case of factorization of second grade polynomials of the form , where and are the two roots of the polynomial. Now we proceed to solve each polynomial:

1)

In this case, the coefficients have the following characteristics:

The solution of this system of nonlinear equations is: , .

Then, the factorized form of the polynomial is:

2)

In this case, the coefficients have the following characteristics:

The solution of this system of nonlinear equations is: , .

Then, the factorized form of the polynomial is:

3)

In this case, the coefficients have the following characteristics:

The solution of this system of nonlinear equations is: , .

Hence, the correct answer is D.

4)

In this case, the coefficients have the following characteristics:

The solution of this system of nonlinear equations is: , .

Hence, the correct answer is A.

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