Verified Answer :

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!

Answer:

Option D is correct.

\(6y^6\)

Explanation

Greatest common factor(GCF) of a polynomial states that the largest polynomial that divides into the polynomials.

Given that: \(24y^8+6y^6\)

First find the GCF of the expression.

The GCF of 24 and 6 is 6.

And the

GCF of \(y^8 , y^6\) is \(y^6\)

Combine these to find the GCF of the polynomial is, \(6y^6\)

then;

\(24y^8+6y^6 =6y^6(4y^2+1)\)

Therefore, the greatest common factor of

\(24y^8+6y^6\) is \(6y^6\)

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