Question
Rewrite the following polynomial in standard form.
8, x, cubed, minus, x, squared, minus, 9, x, to the power 5 , plus, 10
8x
3
−x
2
−9x
5
+10
8, x, cubed, minus, x, squared, minus, 9, x, to the power 5 , plus, 10
8x
3
−x
2
−9x
5
+10
Answers
GPT-4o mini
To rewrite the polynomial in standard form, we need to arrange the terms in descending order based on the degree of each term. The polynomial you provided is:
\[
8x^3 - x^2 - 9x^5 + 10
\]
Now, we will arrange the terms in standard form, starting with the highest degree term:
\[
-9x^5 + 8x^3 - x^2 + 10
\]
So, the polynomial in standard form is:
\[
-9x^5 + 8x^3 - x^2 + 10
\]
\[
8x^3 - x^2 - 9x^5 + 10
\]
Now, we will arrange the terms in standard form, starting with the highest degree term:
\[
-9x^5 + 8x^3 - x^2 + 10
\]
So, the polynomial in standard form is:
\[
-9x^5 + 8x^3 - x^2 + 10
\]