1) \[ \begin{array}{l} F_{x}=11 x+x^{6}+8 x^{5}+3 x^{4}+2 x^{3}+2 x^{2}-5 \\ g x=2 x^{5}-4 x^{4}-3 x^{3}+2 x^{2}+4 x-7 \end{array} \] 6). \( F_{x}+g x \) \[ F_{x}-g_{x} \] \[ 9 x-7 x \]

To find \( F_{x} + g(x) \), simply add the two polynomials together. That gives you: \[ F_{x} + g(x) = (11x + x^6 + 8x^5 + 3x^4 + 2x^3 + 2x^2 - 5) + (2x^5 - 4x^4 - 3x^3 + 2x^2 + 4x - 7) \] Combine like terms to simplify the expression! Now, for \( F_{x} - g(x) \), subtract \( g(x) \) from \( F_{x} \): \[ F_{x} - g(x) = (11x + x^6 + 8x^5 + 3x^4 + 2x^3 + 2x^2 - 5) - (2x^5 - 4x^4 - 3x^3 + 2x^2 + 4x - 7) \] Again, combine the like terms! You'll be surprised at how satisfying it is to see all those numbers neatly organized. As for the expression \( 9x - 7x \), it simplifies to \( 2x \). Look at you, all streamlined and neat!