The greatest common factor (GCF) of the terms of the considered polynomial is [tex]3y[/tex] or [tex]-3y[/tex]
How to find Greatest common factor?
Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).
For the considered situation, the terms of the considered polynomials are written in factored terms as:
- [tex]-15y^4 = -3 \times 5 \times y \times y \times y \times y[/tex]
- [tex]12y^2 = 3 \times 4 \times y \times y[/tex]
- [tex]-9y = -3 \times 3 \times y[/tex]
We can take the second term as [tex]12y^2 = -1 \times -3 \times 4 \times y \times y[/tex]
We can also take -3 = -1 times 3
Thus, the greatest factor that is common in all the terms is
[tex]3y\\[/tex] or [tex]-3y[/tex]
Therefore, the greatest common factor (GCF) of the terms of the considered polynomial is [tex]3y[/tex] or [tex]-3y[/tex]
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