To solve the given expression [tex]\( -3x^5 - y^2 + z \)[/tex], we can break it down step-by-step to understand each term and how they combine:
1. Identifying the Terms:
- The expression consists of three individual terms: [tex]\( -3x^5 \)[/tex], [tex]\( -y^2 \)[/tex], and [tex]\( +z \)[/tex].
2. Evaluating Each Term:
- The term [tex]\( -3x^5 \)[/tex] represents a polynomial term where [tex]\( x \)[/tex] is raised to the power of 5 and then multiplied by -3. This term’s contribution depends on the value of [tex]\( x \)[/tex].
- The term [tex]\( -y^2 \)[/tex] represents another polynomial term where [tex]\( y \)[/tex] is squared and then multiplied by -1. This term’s contribution varies depending on the value of [tex]\( y \)[/tex].
- The term [tex]\( +z \)[/tex] is a linear term that simply adds the value of [tex]\( z \)[/tex] to the expression.
3. Combining the Terms:
- To fully evaluate the expression [tex]\( -3x^5 - y^2 + z \)[/tex], we would need specific values for [tex]\( x \)[/tex], [tex]\( y \)[/tex], and [tex]\( z \)[/tex]. Each term is influenced by its respective variable.
4. Final Expression:
- Without specific numerical values for [tex]\( x \)[/tex], [tex]\( y \)[/tex], and [tex]\( z \)[/tex], the expression remains in its given form.
Therefore, the detailed expression is [tex]\( -3x^5 - y^2 + z \)[/tex]. This expression combines polynomial terms in [tex]\( x \)[/tex] and [tex]\( y \)[/tex], and a linear term in [tex]\( z \)[/tex].
This is the complete, step-by-step breakdown of the expression [tex]\( -3x^5 - y^2 + z \)[/tex].
