Let's break down the polynomial [tex]\(3x^2 + 4x - 5\)[/tex] and identify each term:
1. The term [tex]\(3x^2\)[/tex]:
- The coefficient of [tex]\(x^2\)[/tex] is 3.
2. The term [tex]\(4x\)[/tex]:
- The coefficient of [tex]\(x\)[/tex] is 4.
3. The constant term:
- The constant term is [tex]\(-5\)[/tex].
So, the matching terms are:
- The coefficient of [tex]\(x^2\)[/tex] is 3.
- The coefficient of [tex]\(x\)[/tex] is 4.
- The constant term is [tex]\(-5\)[/tex].
Thus, the polynomial [tex]\(3x^2 + 4x - 5\)[/tex] can be matched with its respective parts correctly as follows:
- 3 corresponds to the coefficient of [tex]\(x^2\)[/tex].
- 4 corresponds to the coefficient of [tex]\(x\)[/tex].
- [tex]\(-5\)[/tex] corresponds to the constant term.
