$\\$
`a,`
`M (x)+N (x)`
`= (3x^3 +x^2 - 3x-5) + (-3x^3 +x+9)`
`=3x^3 +x^2 - 3x-5 - 3x^3 +x+9`
`= (3x^3 - 3x^3) + x^2 + (-3x+x)+(-5+9)`
`= x^2 - 2x + 4`
Vậy `M (x)+N (x)=x^2 - 2x+4`
$\\$
`b,`
`M (x) + N (x) - P (x)=x^2 +2x+1`
`-> (x^2 - 2x+4) - P (x)=(x^2 +2x+1)`
`-> P (x)=(x^2 -2x+4) - (x^2 +2x+1)`
`-> P (x)=x^2 - 2x+4-x^2-2x-1`
`-> P (x)=(x^2 - x^2) + (-2x-2x)+(4-1)`
`-> P (x)=-4x+3`
Vậy `P (x)=-4x+3`
$\\$
`c,`
`P (x)=-4x+3`
Cho `P (x)=0`
`->-4x+3=0`
`->-4x=0-3`
`->-4x=-3`
`->x=3/4`
Vậy `x=3/4` là nghiệm của `P (x)`