Adding Polynomials

To add two polynomials, add the coefficients of the terms of the same degree.

P(x) = 2x3 + 5x − 3      

   Q(x) = 4x − 3x2 + 2x3

1 If they are not of the same degree, order the polynomials.

 Q(x) = 2x3 − 3x2 + 4x

P(x) +  Q(x) = (2x3 + 5x − 3) + (2x3 − 3x2 + 4x)

2 Group the monomials of the same degree.

P(x) +  Q(x) = 2x3 + 2x3 − 3x2 + 5x + 4x − 3

3 Add the similar monomials.

P(x) +  Q(x) = 4x3 − 3x2 + 9x − 3

Polynomials can be added by writing them under each other, so that similar monomials that are in the same columns can be added together.

P(x) = 7x4 + 4x2 + 7x + 2        Q(x) = 6x3 + 8x +3

Sum of Polynomials

P(x) + Q(x) = 7x4 + 6x3 + 4x2 + 15x + 5