Polynomials: Operations 4.7

4.7 OPERATIONS WITH POLYNOMIALS IN SEVERAL VARIABLES
a. Evaluate a polynomial in several variables for given values of the variables.
b. Identify the coefficients and the degrees of the terms of a polynomial and the degree of a polynomial.
c. Collect terms of a polynomial.
d. Add polynomials.
e. Subtract polynomials.
f. Multiply polynomials.

Objective a
Evaluate a polynomial in several variables for given values of the variables.

Example A



Example B




Objective b
Identify the coefficients and the degrees of the terms of a polynomial and the degree of a polynomial.



Objective c
Collect terms of a polynomial.

Like Terms


Example C Combine like terms.



Objective d
Add polynomials.

Example D



Objective e
Subtract polynomials.

Example E



Objective f
Multiply polynomials.

Example F