Question

simply this polynomial and final answer must be in standard form

(7-4k^2+k)+(8k+5k^2-7)

Answer 1

To simplify the polynomial \((7-4k^2+k)+(8k+5k^2-7)\), we can start by combining like terms.

First, we can rewrite the expression by removing the parentheses:

\[
7 - 4k^2 + k + 8k + 5k^2 - 7
\]

Now, let's group the like terms:

1. **Constant terms**: \(7 - 7 = 0\)
2. **Linear terms**: \(k + 8k = 9k\)
3. **Quadratic terms**: \(-4k^2 + 5k^2 = 1k^2\) or simply \(k^2\)

Now we combine these results:

\[
0 + 9k + k^2 = k^2 + 9k
\]

The final answer in standard form is:

\[
k^2 + 9k
\]