Respuesta :

Answer:

3x+4x+7

Step-by-step explanation:

First, a Trinomial consists of three terms.

so we have blank+blank+blank

Next we need to add the coefficients.

3+4+blank

Add the variables.

3x+4x+blank

And lastly, add the constant.

3x+4x+7

Good luck!

A trinomial that meets the given criteria is:

p(x) = 3*x^2 + 4*x + 7

How to get a trinomial?

A trinomial is a polynomial with 3 terms, we can write it as:

p(x) = A*x^n + B*x^k + C*x^m

Where n, k, and m, can be only natural numbers equal to or larger than zero, and A, B, and C are the coefficients.

First, we know that our trinomial has a constant 7, then one of the exponents must be 0, let's say that m = 0, then C = 7.

p(x) = A*x^n + B*x^k + 7

Now, we know that the other coefficients must be 3 and 4, so we can use:

  • A = 3
  • B = 4

And there are no more restrictions, so we can use any values for n and k, I will use:

  • n = 2
  • k = 1.

Then the trinomial becomes:

p(x) = 3*x^2 + 4*x + 7

If you want to learn more about polynomials, you can read:

https://brainly.com/question/4142886