a) `P(x) + Q(x) +2019= -3x^5 + 1/2 x^4 - 8x^3 +x^2 - 1009 + 3x^5 + 1/2 x^4 -2x^3 + x - 1010 +2019`
`P(x) + Q(x) +2019 = (-3x^5 + 3x^5) + (1/2 x^4 + 1/2 x^4) - (8x^3 + 2x^3) + x^2 +x - (1009 + 1010 - 2019)`
`P(x) + Q(x) + 2019 = x^4 - 10x^3 + x^2 + x`
b) `Q(x) - P(x) +1= 3x^5 + 1/2 x^4 -2x^3 + x - 1010 + 3x^5 - 1/2x^4 + 8x^3 -x^2 + 1009 +1`
`Q(x) -P(x) +1 = (3x^5 + 3x^5) + (1/2x^4 - 1/2x^4) - (2x^3 - 8x^3) +x - x^2 - (1010 - 1009 -1)`
`Q(x) -P(x) +1 = 6x^5 + 6x^3 + x - x^2`