Respuesta :
Here, your expression is: 24y⁸ + 6y⁶
Now, your coefficients are: 24, and 6
So, GCF of 24 & 6 is 6
& Greatest common variable of y⁸ and y⁶ is y⁶
So, Your GCF for whole expression is 6y⁶
In short, Your Answer would be Option D
Hope this helps!
Now, your coefficients are: 24, and 6
So, GCF of 24 & 6 is 6
& Greatest common variable of y⁸ and y⁶ is y⁶
So, Your GCF for whole expression is 6y⁶
In short, Your Answer would be Option D
Hope this helps!
Answer:
Option D is correct.
[tex]6y^6[/tex]
Explanation
Greatest common factor(GCF) of a polynomial states that the largest polynomial that divides into the polynomials.
Given that: [tex]24y^8+6y^6[/tex]
First find the GCF of the expression.
The GCF of 24 and 6 is 6.
And the
GCF of [tex]y^8 , y^6[/tex] is [tex]y^6[/tex]
Combine these to find the GCF of the polynomial is, [tex]6y^6[/tex]
then;
[tex]24y^8+6y^6 =6y^6(4y^2+1)[/tex]
Therefore, the greatest common factor of
[tex]24y^8+6y^6[/tex] is [tex]6y^6[/tex]
