Respuesta :
Answer:
3Z(Z^3 + 2).
Step-by-step explanation:
3Z^4 + 6Z
The greatest common factor is 3Z.
Taking this out we get:
3Z(Z^3 + 2).
Factor of [tex]3Z^4 + 6Z[/tex] will be [tex]3Z(Z^3 + 2)[/tex].
What are factors?
Factor is a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
We have,
[tex]3Z^4 + 6Z[/tex]
Now,
To find the factor of the given expression,
Take common from the given expression,
i.e.
We can rewrite it as,
[tex](3Z*Z^3 )+ (3Z*2)[/tex]
Now,
Take [tex]3Z[/tex] as common,
We get,
[tex]3Z*(Z^3 + 2)[/tex]
i.e.
[tex]3Z(Z^3 + 2)[/tex]
So, factor of the given expression is [tex]3Z(Z^3 + 2)[/tex].
Hence, we can say that the Factor of [tex]3Z^4 + 6Z[/tex] will be [tex]3Z(Z^3 + 2)[/tex].
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