Question
Which is a trinomial with a constant term?
-x+y^10
x+4y+7
y^5
x^3+11x^2+x
-x+y^10
x+4y+7
y^5
x^3+11x^2+x
Answers
GPT-4o mini
A trinomial is a polynomial with exactly three terms. Let's analyze each option you provided to identify whether they are trinomials with a constant term.
1. **-x + y^10**: This has 2 terms, so it is not a trinomial.
2. **x + 4y + 7**: This has 3 terms (x, 4y, and 7), and the constant term is 7. This is a trinomial with a constant term.
3. **y^5**: This has 1 term, so it is not a trinomial.
4. **x^3 + 11x^2 + x**: This has 3 terms (x^3, 11x^2, and x), but it does not have a constant term (the term without a variable). Therefore, it is a trinomial but not one with a constant term.
From this analysis, the trinomial with a constant term is: **x + 4y + 7**.
1. **-x + y^10**: This has 2 terms, so it is not a trinomial.
2. **x + 4y + 7**: This has 3 terms (x, 4y, and 7), and the constant term is 7. This is a trinomial with a constant term.
3. **y^5**: This has 1 term, so it is not a trinomial.
4. **x^3 + 11x^2 + x**: This has 3 terms (x^3, 11x^2, and x), but it does not have a constant term (the term without a variable). Therefore, it is a trinomial but not one with a constant term.
From this analysis, the trinomial with a constant term is: **x + 4y + 7**.