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Chapter 5: Q.80 (page 499)

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

Short Answer

Expert verified

Not all trinomials are second degree polynomials.

Step by step solution

01

Step 1. Given Information

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

02

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(x)=ax2+bx+c wherea鈮�0

03

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

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

ax2+bx+cwhere a鈮�0.

Not all trinomials are second degree polynomials. Example:

3x5+x4+2

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