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## To factor a polynomial, such as the one you mentioned, you can try to group terms and look for common factors. In this case, you can see that all the terms have a common factor of 1, so we can factor it out:

x^4 + 2x^3 + 4x^2 + 8x + 16 = 1(x^4 + 2x^3 + 4x^2 + 8x + 16)

Now, let's try to group terms. We can group the first two terms and the last two terms:

1(x^4 + 2x^3) + 1(4x^2 + 8x + 16)

Now, let's factor the common terms out of each group:

1x^3(x + 2) + 4(x^2 + 2x + 4)

So, the factored form of the polynomial is:

x^3(x + 2) + 4(x^2 + 2x + 4)

That's as far as we can simplify it using factoring.