Respuesta :
The greatest common factor of the terms in the polynomial [tex]\rm 8x^4 - 4x^3 - 18x^2[/tex] is [tex]\rm 2x^2[/tex].
Given
Polynomial; [tex]\rm 8x^4 - 4x^3 - 18x^2[/tex]
Greatest common factor;
The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).
The polynomial is;
[tex]\rm 8x^4 - 4x^3 - 18x^2[/tex]
The coefficients of the terms in this expression are 8, 4, and 18.
The largest number that you can divide all of them with and get a whole number is 2.
So, 2 is part of our greatest common factor.
The exponent of the smallest x term is 2, so x^2 is the other part of our greatest common factor.
Hence, the greatest common factor of the terms in the polynomial [tex]\rm 8x^4 - 4x^3 - 18x^2[/tex] is [tex]\rm 2x^2[/tex].
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