Answer :

Final answer:

The GCF of the polynomial 5x⁵+35x³+25x² is 5x².

Explanation:

To factor the greatest common factor (GCF) out of the polynomial 5x⁵+35x³+25x², we need to find the common terms that can be factored out.

The GCF of the terms 5x⁵, 35x³, and 25x² is 5x² since it is the highest power of x that can be divided evenly into all the terms.

Factoring out 5x², we get 5x²(x³+7x+5).

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