can this be simplified further?
x^4+2x^3+4x^2+8x+16
Unless you are asking if the statement can be factored, the answer to your question is "no".
Only variables with the same exponents can be added together.
you mean this could be factored? how?
dsfhsfhsrhsr
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.