Question

Which polynomial represents the sum below?
(4x^2 +1) +(4x^2+x+2)

Answer 1

To find the sum of the two polynomials \( (4x^2 + 1) + (4x^2 + x + 2) \), we can combine the like terms.

1. Start by writing the polynomials together:
\[
4x^2 + 1 + 4x^2 + x + 2
\]

2. Combine the \( x^2 \) terms:
\[
4x^2 + 4x^2 = 8x^2
\]

3. Combine the \( x \) terms:
\[
x \quad (\text{there is only one } x \text{ term})
\]

4. Combine the constant terms:
\[
1 + 2 = 3
\]

Now, putting it all together, we get:
\[
8x^2 + x + 3
\]

Thus, the polynomial that represents the sum is:
\[
\boxed{8x^2 + x + 3}
\]