Hiệu P(x) − Q(x) là.

Chọn C

Ta có: \(P\left( x \right) - Q\left( x \right) = 5{x^3} + {x^2} - x + 5 - \left( {{x^3} - 2{x^2} + 3x + 2} \right)\)

                                 \( = 5{x^3} + {x^2} - x + 5 - {x^3} + 2{x^2} - 3x - 2\)

                                 \[ = \left( {5{x^3} - {x^3}} \right) + \left( {{x^2} + 2{x^2}} \right) + \left( { - 3x - x} \right) + 5 - 2\]

                                 \[ = 4{x^3} + 3{x^2} - 4x + 3\].