Give the degree of the polynomial
-3w+x^6y^5-2+5y^4w^3x^2

Here the degree of the polynomial is 11.

Step-by-step explanation:

To find the degree of the multivariate polynomials, we need to add up the powers of all the variables.   So the total degree is given by the sum of all the powers of the highest powers terms.

Now in the given polynomial

the term with the highest total powers is and thus the total power is 6+5=11.

And hence the degree of this polynomial is 11.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: