Question

Rewrite the following polynomial in standard form.
9, x, plus, 1, minus, x, squared
9x+1−x
2

Answer 1

To rewrite the polynomial \( 9x + 1 - x^2 \) in standard form, we need to arrange it in descending order of the powers of \( x \).

Starting with the given expression:

\[
9x + 1 - x^2
\]

We can rearrange this to:

\[
-x^2 + 9x + 1
\]

In standard form, it is typically written with the leading coefficient being positive. Therefore, we can multiply the entire polynomial by -1:

\[
x^2 - 9x - 1
\]

So, the polynomial in standard form is:

\[
-x^2 + 9x + 1
\]

Or, if you prefer:

\[
-x^2 + 9x + 1
\]