To solve the expression [tex]\(-9x - 30x^2\)[/tex], we will go through it step by step.
1. Identify the terms in the expression:
The expression [tex]\(-9x - 30x^2\)[/tex] has two terms:
- [tex]\(-9x\)[/tex] which is a linear term (has [tex]\(x\)[/tex] to the power of 1)
- [tex]\(-30x^2\)[/tex] which is a quadratic term (has [tex]\(x\)[/tex] to the power of 2)
2. Rewrite the expression in a standard format:
Typically, when writing polynomial expressions, we order the terms in descending powers of [tex]\(x\)[/tex]. Therefore, we rewrite the expression as:
[tex]\[
-30x^2 - 9x
\][/tex]
3. Interpret the coefficients:
- For the term [tex]\(-30x^2\)[/tex], the coefficient is [tex]\(-30\)[/tex]
- For the term [tex]\(-9x\)[/tex], the coefficient is [tex]\(-9\)[/tex]
4. Combine the terms:
Since there are no like terms to combine in this case (linear terms only combine with other linear terms, and quadratic terms only combine with other quadratic terms), the expression remains as:
[tex]\[
-30x^2 - 9x
\][/tex]
5. Conclusion:
- The expression simplified and reorganized in standard polynomial form is:
[tex]\[
-30x^2 - 9x
\][/tex]
This is the final simplified form of the given expression.
