Question

Classify each polynomial by its degree and number of terms

Answer 1

You have that:

1) 7x/4+3 (Name using degree: First degree polynomial),(Name using number of terms:binomial)

2) 5.2x^2-4x+2.5 (Name using degree: Quadratic polynomial),(Name using number of terms:trinomial)

3) 3/5 (Name using degree: zero degree polynomial),(Name using number of terms:monomial)

4) 0.75x^2 (Name using degree: Quadratic degree polynomial),(Name using number of terms:monomial).

Answer 2

Answer with explanation:

We know that a polynomial is classified based on the degree as follows:

Constant-

If it has a degree zero.

and the equation of such a polynomial is:

p(x)=a

Linear--

It has degree 1.

and the equation of such a polynomial is: p(x)=ax+b

Quadratic--

If it has degree two and the equation of the polynomial is given by:

`p(x)=ax^2+bx+c`

Based on number of Terms--

Monomial--

If it has just one term.

Binomial--

If it has two terms.

Trinomial--

If it has three terms.