Which description is correct for the polynomial −5x2−3x+3 ?

quartic binomial

quadratic binomial

quadratic trinomial

cubic binomial

The correct description for the polynomial 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 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 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 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 is a cubic binomial.

Thus, the polynomial is quadratic trinomial.

x = 3 ± √(5+y)