Answer :
Given:
Leading coefficient of a trinomial = 3
Constant term = [tex]-5[/tex]
To find:
The equation of trinomial.
Solution:
If an expression contains three terms, then it is known as trinomial.
The general form of a trinomial which contains leading term and a constant is:
[tex]ax^2+bx+c[/tex]
Where, a,b,c are real non-zero numbers. Here, a is the leading coefficient and c is the constant.
Putting a=3 and c=-5, we get
[tex]3x^2+bx+(-5)[/tex]
[tex]3x^2+bx-5[/tex]
Therefore, the required trinomial is [tex]3x^2+bx-5[/tex], where b is a non zero real number.