Question

What is the greatest common factor of 24y^8+6y^6 ?

24y^8

6y^8

3y^2

6y^6

Answer 1

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 2

Option D is correct.

`6y^6`

Step-by-step 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`