Problems from Adding and subtracting polynomials

Consider the following polynomials:

p(x)=x3+x

q(x)=2x3x3

Do the following operation: p(x)+q(x)

See development and solution

Development:

  p(x) q(x) p(x)+q(x)
degree 0 0 3 3
degree 1 x x 0
degree 2 0 0 0
degree 3 x3 2x3 x3

Solution:

p(x)+q(x)=x33

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