Note: Consider we need to find the factor form of the given expression by taking out the GCF.
Given:
The expression is:
[tex]-42k^3+24k^4+12k^5[/tex]
To find:
The factor form of the given expression.
Solution:
We have,
[tex]-42k^3+24k^4+12k^5[/tex]
It can be written as:
[tex]=6k^3(-7)+6k^3(4k)+6k^3(2k^2)[/tex]
Taking out the greatest common factor (GCF), we get
[tex]=6k^3(-7+4k+2k^2)[/tex]
Therefore, the factor form of the given expression is [tex]6k^3(-7+4k+2k^2)[/tex].
