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What is the GCF of the terms of 3x⁴-9x²-12x?

Sagot :

Answer: The GCF of the terms of [tex]3x^4-9x^2-12x[/tex] is [tex]3x[/tex].

Step-by-step explanation:

We need to find:  GCF(Greatest common factor) of the terms of [tex]3x^4-9x^2-12x[/tex].

The greatest common factor(GCF) is the greatest factor that divides two expressions.

Here,

[tex]3x^4=3\times x \times x \times x \times x \\9x^2=3\times 3 \times x \times x\\12x=3\times 2 \times 2 \times x[/tex]

The greatest common factor of [tex]3x^4-9x^2-12x[/tex] = [tex]3x[/tex]

Hence, the GCF of the terms of [tex]3x^4-9x^2-12x[/tex] is [tex]3x[/tex].