The correct description for the polynomial [tex]-5x^{2} -3x+3[/tex] is quadratic trinomial.
Explanation:
Option a: Quartic binomial
A polynomial with degree 4 is said to be quartic polynomial. Also, if the polynomial contains two terms then it is binomial.
Hence, the polynomial [tex]-5x^{2} -3x+3[/tex] is not quartic binomial.
Option b: Quadratic binomial
A polynomial with degree 2 is said to be quadratic polynomial. Also, if the polynomial contains two terms then it is binomial.
Hence, the polynomial [tex]-5x^{2} -3x+3[/tex] is not quadratic binomial.
Option c: Quadratic trinomial
A polynomial with degree 2 is said to be quadratic polynomial. Also, if the polynomial contains three terms then it is binomial.
Hence, the polynomial [tex]-5x^{2} -3x+3[/tex] is a quadratic trinomial.
Option d: Cubic binomial
A polynomial with degree 3 is said to be cubic polynomial. Also, if the polynomial contains two terms then it is binomial.
Hence, the polynomial [tex]-5x^{2} -3x+3[/tex] is a cubic binomial.
Thus, the polynomial [tex]-5x^{2} -3x+3[/tex] is quadratic trinomial.
