Question

x cube - x square - ( 2 + √ 2)x + √2​

Answer 1

Answer:

using middle split term;

x² + 2√2x - 6

Sum of roots = 2√2

Product of roots = -6

x² + 3√2x - √2x - 6  =0

x [ x + 3√2 ] - √2 [ x+ 3√2]

[ x - √2 ] [ x+ 3√2]  =0

x = √2  or,  

x = -3√2