Question

What is true about the degree of the sum and difference of the polynomials 3x®y - 2xy^ - 7xy and --8xy + 2xyA + 7xy?

a. The degree of the sum is always greater than the degree of the difference.
b. The degree of the sum is equal to the degree of the difference.
c. The degree of the sum is always smaller than the degree of the difference.
d. The degree of the sum and difference cannot be determined.

Answer 1

The degree of the sum and difference of the given polynomials is 1.

Step-by-step explanation:

The degree of a polynomial is determined by the highest exponent of the variable in the polynomial. In the given polynomials, the exponent of the variable 'x' is the highest in both cases. Therefore, the degree of the sum and difference will be the same as the degree of the individual polynomials, which is 1.