Question

What is the degree of the polynomial −6x3y2 5x4−7z?

Answer 1

5 is the highest degree.

Explanation:

We are given the following polynomial:

`-6x^3y^2+5x^4-7z`

and we are to find the degree of this polynomial.

The degree of a polynomial is the highest degree of its monomials (which are the individual terms in a polynomial) with coefficients that are greater than 0.

In the given polynomial, we have multiple variable term
`-6x^3y^2` and two single variable terms.

So we can find the highest degree by adding the exponents of
`-6x^3y^2` i.e. 3+2=5.