which of the following is a trinomial with a constant term x+4y+7, x^3+11x^2+x, -x+y^10, y^5

Answer 1

A trinomial is a polynomial that has exactly three terms. Let's analyze the given expressions:

1. \( x + 4y + 7 \) - This expression has 3 terms: \( x \), \( 4y \), and \( 7 \) (the constant term). This is a trinomial.

2. \( x^3 + 11x^2 + x \) - This expression has 3 terms: \( x^3 \), \( 11x^2 \), and \( x \). This is also a trinomial.

3. \( -x + y^{10} \) - This expression has 2 terms: \( -x \) and \( y^{10} \). This is not a trinomial.

4. \( y^5 \) - This expression has 1 term. This is not a trinomial.

From the analysis, the expressions that are trinomials are:

• \( x + 4y + 7 \)
• \( x^3 + 11x^2 + x \)

So both of the first two expressions are trinomials.