Adding the coefficients of similar terms gives the sum of two polynomials. Terms are similar if the powers of the variable factors match. For example:
Subtracting the coefficients of similar terms gives the difference of two polynomials. For example:(2x2 + 3x + 4) + (5x + 4) = 2x2 + 8x + 8
The degree of the result is equal to the larger of the degree of the augend and addend except when they both have the same degree and the highest degree terms cancel. Example:(2x2 + 3x + 4) - (5x + 4) = 2x2 - 2x
(x2 + 3x + 5) - (x2 - 4x + 4) = 7x + 1