Question

Choose the correct classification of 5x + 3x2 − 7x3 + 2. (5 points)

Fourth degree trinomial
Third degree polynomial
First degree binomial
Sixth degree polynomial

Answer 1

3rd degree polynomial. since the highest *exponent* is 3.

Answer 2

The degree of a polynomial is the highest degree of its terms with non-zero coefficients. The degree of a term is the sum of the exponents of the variables in the expression.

The given expression is :

`5x+3x^(2) -7x^(3) +2`

This can be be rearranged in descending order as:

`-7x^(3) +3x^(2) +5x+2`

Here the highest power of the variable of the terms is 3 which denotes the degree of the polynomial .

The given expression is Third degree polynomial.