Chapter 8.1, Problem 45PPS

To determine

To classify: The polynomial $4x-3x^2+5$ according to its degree and number of terms.

Answer to Problem 45PPS

quadratic trinomial

Explanation of Solution

Given:

  $4x-3x^2+5$

Calculation:

The given polynomial is $4x-3x^2+5$

Writing this polynomial in standard form

  $-3x^2+4x+5$

The degree of the polynomial is $2$ . Hence, it is quadratic polynomial.

The polynomial has $3$ terms. Hence, it is trinomial.

So, the given polynomial is quadratic trinomial.