( fx) + g(x) + (f(x) - g(x) = 6x^4 - 3x^2 - 5 + 4x^4 - 6x^3 + 7x^2 + 8x - 9 

                                   = 10x^4 +   4x^2  + 8x - 14 

=> 2fx = 2 (  5x^4  + 2 x^2 + 4x - 7)

=> f(x) = 5x^4 + 2x^2 + 4x - 7 

Tính tiếp g(x) nha 

=> 2 f(x) = 6x^4 - 3x^2 - 5 + 4x^4 - 6x^3 + 7x^2 + 8x - 9

               = 10x^4 - 6x^3 + 4x^2 + 8x - 14 

=> 2.f ( x ) =  2 ( 5x^4 - 3x^3 + 2x^2 + 4x - 7 )

=> ( fx) = 5x^4 - 3x^3 + 2x^2 + 4x - 7 

g(x) tự tìm 

ta có:

f(x) + g(x) = 6x^4 - 3x^2 - 5 

f(x) - g(x) = 4x^4 - 6x^3 + 7x^2 + 8x - 9

công hai vế lại với nhau ta được:

f(x)+g(x)+f(x)-g(x)=6x^4 - 3x^2 - 5 + 4x^4 - 6x^3 + 7x^2 + 8x - 9

=>2f(x)=6x⁴+4x⁴-6x³-3x²+7x²+8x-5-9

2f(x)=10x⁴-6x³+4x²+8x-14

2f(x)=2.(5x⁴-3x³+2x²+4x-7)

=>f(x)=5x⁴-3x³+2x²+4x-7

=>g(x)=6x^4 - 3x^2 - 5 -(5x⁴-3x³+2x²+4x-7)

=6x⁴-3x²-5-5x⁴+3x³-2x²-4x+7

=6x⁴-5x⁴+3x³-3x²-2x²-4x-5+7

=x⁴+3x³-5x²-4x+2

Ta có:\(f\left(x\right)-h\left(x\right)=g\left(x\right)\Leftrightarrow h\left(x\right)=f\left(x\right)-g\left(x\right)\)

\(\Leftrightarrow h\left(x\right)=\left(2x^4+5x^3-x+8\right)-\left(x^4-x^2+3x+9\right)\)

                  \(=2x^4+5x^3-x+8-x^4-x^2-3x-9\)

                  \(=x^4+5x^3+x^2-4x-1.\)

Vậy, đa thức cần tìm là: \(h\left(x\right)=x^4+5x^3+x^2-4x-1.\)

Ta có:  \(h\left(x\right)-g\left(x\right)=f\left(x\right)\Leftrightarrow h\left(x\right)=f\left(x\right)+g\left(x\right)\)

\(\Leftrightarrow h\left(x\right)=\left(2x^4+5x^3-x+8\right)+\left(x^4-x^2+3x+9\right)\)

                  \(=2x^4+5x^3-x+8+x^4-x^2+3x+9\)

                  \(=3x^4+5x^3-x^2+2x+17\)

Vậy, đa thức cần tìm là:\(h\left(x\right)=3x^4+5x^3-x^2+2x+17.\)

f(x) = 5x^4-3x^3+2x^2+4x-7
g(x) = x^4+3x^3-5x^2-4x+2