Step-by-step explanation:
From the given question
We are given the function
![20x^5-16x^4-12x^2](https://img.qammunity.org/2023/formulas/mathematics/college/oki18ayq6bmywyplliisjifuwjtewqwqdq.png)
GCF: The greatest common factor of a set of numbers is the largest factor that all the numbers share, in our case the GCF is
![4x^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/i0ovboqglecc6bj7ia1g1ar0nl7niim0s2.png)
So, for the first part
![GCF=4* x^2](https://img.qammunity.org/2023/formulas/mathematics/college/cv9n2d7t2uzmoklry9p8pattrae4uo3m10.png)
Then
for the second part
![(20x^5+16x^4-12x^2)/(4x^2)=5x^3+4x^2-3](https://img.qammunity.org/2023/formulas/mathematics/college/wu0hokmjshg081j112avdotajdglo8wbqt.png)
Thus
we will have
![Factored\text{ function:GCF\lparen5}* x^2\text{\rparen+\lparen4}* x^2\text{\rparen+\lparen-3\rparen}](https://img.qammunity.org/2023/formulas/mathematics/college/8xxlbnezionvj8tq5y1peokznjz4lc2taq.png)