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I need help understanding if I am doing GFC on polynomials with exponents right.
The problem is 16p^4+4p^3
I got 4 as the GFC and wrote out the equation as 4p^2(4p^2+p)
I get GFC but I am struggling with understanding exponents that don't have a factor.

Answer :

[tex]GCF\ of\ 16p^4+4p^3 = 4p^3[/tex]

The expression can be written as:

[tex]16p^4 + 4p^3 = 4p^3(4p + 1)[/tex]

Solution:

Given is:

[tex]16p^4 + 4p^3[/tex]

We have to find the greatest common factor

Find GCF of numbers 16 and 4

The factors of 4 are: 1, 2, 4

The factors of 16 are: 1, 2, 4, 8, 16

Then the greatest common factor is 4

Now find GCF of variables

[tex]GCF\ of\ p^4\ and\ p^3[/tex]

Here the p is same but exponents are different 4 and 3

Thus GCF is [tex]p^3[/tex]

GCF is the largest number that will divided evenly into that number

Therefore,

[tex]GCF\ of\ p^4\ and\ p^3 = p^3[/tex]

Thus GCF of [tex]16p^4+4p^3[/tex] is:

[tex]GCF\ of\ 16p^4+4p^3 = 4p^3[/tex]

Thus GCF is found

THE EXPRESSION CAN BE WRITTEN AS:

Factor out the GCF

[tex]16p^4 + 4p^3 = 4p^3(4p + 1)[/tex]

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