To rewrite the polynomial [tex]\( -10 - 9x^2 + x \)[/tex] in standard form, follow these steps:
1. Identify the terms in the polynomial and their corresponding degrees:
- [tex]\(-10\)[/tex] is a constant term (degree 0)
- [tex]\(-9x^2\)[/tex] is a term with degree 2
- [tex]\(x\)[/tex] is a term with degree 1
2. Order the terms by the degree of [tex]\(x\)[/tex] in descending order:
- [tex]\( -9x^2 \)[/tex] has the highest degree (2)
- [tex]\( x \)[/tex] comes next as it is degree 1
- [tex]\( -10 \)[/tex] is the constant term (degree 0)
3. Arrange the polynomial in descending order of powers of [tex]\(x\)[/tex]:
[tex]\[
-9x^2 + x - 10
\][/tex]
Thus, the polynomial [tex]\( -10 - 9x^2 + x \)[/tex] in standard form is:
[tex]\[
-9x^2 + x - 10
\][/tex]
