Problemas
What is the greastest common factor of the following polynomial: 9n^3+6n^2-10n GCR: typeyouranswer
Roztwór
Iván
maestro · Tutor durante 5 años
4
(304 Votos)
Respuesta
To find the greatest common factor (GCF) of the polynomial
, we need to identify the largest factor that divides each term of the polynomial.First, let's factor each term individually:-
can be factored as
.-
can be factored as
.-
can be factored as
.Next, we identify the common factors in each term:- The coefficients are 9, 6, and -10. The GCF of these coefficients is 1 because there is no larger number that divides all three coefficients exactly.- The variable part is
,
, and
. The GCF of these variable parts is
, since
is the highest power of
that divides each term.Therefore, the GCF of the polynomial
is
.So, the greatest common factor (GCF) is: