Question

Factorize 2x^2+√3x-3=0

Answer 1

the roots or zeroes of the given polynomial are —sqrt 3 and sqrt(3)÷2

Answer 2

2 x²  + √3 x  - 3  =  0

x = roots  =  [ -√3  +-  √(3 +24) ]/4 = [ -1 +-  3]* √3/ 4
        = -√3  or  √3/2

so factors :   (x + √3)   and  (x - √3 /2)