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HELP! Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Respuesta :

The polynomial with a GCF of 5z is 5z * (x  + 1) and the equivalent form is 5xz + 5z and 5xz + 4z + z

How to create the polynomial?

From the question, we have the GCF of the polynomial to be:

GCF = 5z

So, we represent the polynomial as follows:

Polynomial = GCF * Other factor

Substitute the known values in the above equation

Polynomial = 5z * Other factor

Let the other factor be x + 1

So, we have:

Polynomial = 5z * (x  + 1)

Expand the polynomial

Polynomial = 5xz + 5z

Hence, the polynomial with a GCF of 5z is 5z * (x  + 1) and the equivalent form is 5xz + 5z and 5xz + 4z + z

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