Respuesta :
3rd degree polynomial. since the highest *exponent* is 3.
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 :
[tex] 5x+3x^{2} -7x^{3} +2 [/tex]
This can be be rearranged in descending order as:
[tex] -7x^{3} +3x^{2} +5x+2 [/tex]
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.