Respuesta :

Answer:

[tex]3x^2+x-5[/tex]

Step-by-step explanation:

So let's figure out our definitions here:

A trinomial is a function that looks like this: [tex]x^2+x+1[/tex]

A leading coefficient is the number before the variable with the highest value. In this case, it would be the number before [tex]x^2[/tex], making this function now [tex]3x^2+x+1[/tex].

A constant is a number that doesn't change no matter what the variable is, which would be that last number, [tex]1[/tex]. Therefore, our function is now [tex]3x^2+x-5[/tex], which is our answer.

Answer: 3*x^2 + b*x - 5

Step-by-step explanation:

We know that a trinomial equation has the shape of:

a*x^2 + b*x + c

Where the leading coefficient is a, and the constant is c

So we have a = 3, c = -5

so the trinomial that we are looking for is:

3*x^2 + b*x - 5

Where the value of b can be any real number.