(a) p(x) = x3 + 2x2 – 3x + 1,
q(x) = x3 – 2x2 + 3x + 5
p(x) + q(x)
= x3 + 2x2 – 3x + 1 + x3 – 2x2 + 3x + 5
= 2x3 + 6
Degree = 3
(b) p(x) – q(x)
= x3 + 2x2 – 3x + 1 – (x3 – 2x2 + 3x + 5)
= x3 + 2x2 – 3x + 1 -x3 + 2x2 – 3x – 5
= 4x2 – 6x – 4
Degree = 2