Respuesta :
Answer:
Greatest common factor(GCF) of a polynomial states that the largest polynomial that divides into the polynomials.
Given that: [tex]8xy^5-16x^2y^3+20x^4y^4[/tex]
First find the GCF of the expression.
The GCF of 8, 16 and 20 is 4.
The GCF of [tex]x, x^2 and x^4[/tex] is x.
And the
GCF of [tex]y^5, y^3 and y^4[/tex] is [tex]y^3[/tex]
Combine these to find the GCF of the polynomial is, [tex]4xy^3[/tex]
then;
[tex]8xy^5-16x^2y^3+20x^4y^4[/tex] = [tex]4xy^3(2y^2-4x+5x^3y)[/tex]
Therefore, the greatest common factor of
[tex]8xy^5-16x^2y^3+20x^4y^4[/tex] is [tex]4xy^3[/tex]
