Question

Is every trinomial a second degree polynomial? If not, give an example.

Short answer

Not all trinomials are second degree polynomials.

Step-by-step solution

Step 1. Given Information

We have to explain is every trinomial a second degree polynomial. If not, give an example.

Step 2. A definition of trinomial and second degree polynomial

• A trinomial is a polynomial consisting of three terms or monomials.
• A degree of a polynomial is the highest power of the unknown with nonzero coefficient, so the second degree polynomial is any function in form of:

  $P\left(x\right)=a{x}^2+bx+c$ where$a\ne 0$
  

Step 3. Explanation, Is every trinomial a second degree polynomial and example.

A second degree polynomial in x is an expression of the form

$a{x}^2+bx+c$where $a\ne 0$.

Not all trinomials are second degree polynomials. Example:

$3x^5+x^4+2$