1. \( 3 a+2 a^{2}+5 a+a^{3} \)

Question ( Watch Video Show Examples Solve the following quadratic equation for all values of \( x \) in simplest form. \[ 2\left(x^{2}-6\right)-1=-5 \]

Question If using the method of completing the square to solve the quadratic equation \( x^{2}+3 x-17=0 \), which number would have to be added to "complete the square"? Answer Attempt 2 out of 2

* 1 punto (2x \( \left.x^{2} y-3 x y z+z^{3}\right)-\left(x^{2} y-4 x y z-2 z^{3}\right)+\left(3 x y^{2} z-y^{3}+z^{2}\right) \) a) \( x^{2} y+x y^{2} z-7 x y z-y^{3}+3 z^{2}+3 z^{3} \) b) \( x^{2} y+3 x y^{2} z+y^{3}-7 x y z+3 z^{2}+z^{3} \) c) \( x^{2} y+3 x y^{2} z-y^{3}+x y z+3 z^{2}+3 z^{3} \) d) \( 3 x^{2} y+3 x y^{2} z-y^{3}-7 x y z+3 z^{2}+3 z^{3} \)

\( \left(2 x^{2} y-3 z\right)\left(x^{3} z+4 y^{2}\right) \) a) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 z y^{2} \) b) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 z^{2} y \) c) \( 2 x^{5} y z-8 x^{2} y^{3}+3 x^{3} z^{2}-12 z^{2} y \) d) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 x^{2} z \)

Solve the equation. (Round your answers to four decimal places \[ e^{2 x}-10 e^{x}+9=0 \] \( x=\square \) (smaller value) \( x=\square \) (larger value)