Answer :
To simplify the expression [tex]\(27x^3 - 21x^2 + 15x^4\)[/tex], we will follow the steps below:
1. Identify the Terms:
- The expression consists of three terms: [tex]\(27x^3\)[/tex], [tex]\(-21x^2\)[/tex], and [tex]\(15x^4\)[/tex].
2. Arrange the Terms in Descending Order of Exponents:
- Start by rewriting the terms in order of decreasing powers of [tex]\(x\)[/tex]:
[tex]\[
15x^4 + 27x^3 - 21x^2
\][/tex]
3. Final Expression:
- Since there are no like terms to combine further, the simplified expression gives us the final result:
[tex]\[
15x^4 + 27x^3 - 21x^2
\][/tex]
This rearranged expression is the simplest form of the given polynomial, organized by the degree of each term.
1. Identify the Terms:
- The expression consists of three terms: [tex]\(27x^3\)[/tex], [tex]\(-21x^2\)[/tex], and [tex]\(15x^4\)[/tex].
2. Arrange the Terms in Descending Order of Exponents:
- Start by rewriting the terms in order of decreasing powers of [tex]\(x\)[/tex]:
[tex]\[
15x^4 + 27x^3 - 21x^2
\][/tex]
3. Final Expression:
- Since there are no like terms to combine further, the simplified expression gives us the final result:
[tex]\[
15x^4 + 27x^3 - 21x^2
\][/tex]
This rearranged expression is the simplest form of the given polynomial, organized by the degree of each term.
