Question

√5 x² + 2x - 3√5 in factorize
​

Answer 1

$\sqrt{5} {x}^{2} + 2x - 3 \sqrt{5} \\ lets \: multiply \: the \: coeff \: of \: {x}^{2} amd \: the \: constant \\ \sqrt{5} {x}^{2} + 5x - 3x - 3 \sqrt{5} \\ \sqrt{5} x(x + \sqrt{5} ) - 3(x + \sqrt{5} ) \\ (x + \sqrt{5} )( \sqrt{5} x - 3)$

This will do.... I did it by factorising the middle term.

Multiply the coeff of x^2 and 3root5, it gives 15. And voila your answer has come.... If you do the needful from there.