Factor the following polynomials by finding a GCF.

5mn(2m + 6n + 1)

Step-by-step explanation:

Look at the coefficients (the numbers): 10, 30, 5

The greatest common factor of 10, 30, and 5 is 5.

Now look at the variable parts of the three terms.

Start with the variable m.

There is m², m, and m.

The GCF of m², m, and m is m.

Now look at the variable n.

There is n, n², n.

The GCF on n, n², and n is n.

The GCF for the entire polynomial is 5mn.

Now we factor out 5mn from all terms.

To factor out 5mn, you divide each term by the GCF, 5mn.

10m²n + 30mn² + 5mn = 5mn(2m + 6n + 1)

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: