Question

What is the factor of x^2-2root5x-15

Answer 1

$\textbf{ Hello Mate! }$

${x}^{2} - 2 \sqrt{5} x - 15$

Split the middle term such that :

Their sum = $- 2 \sqrt{ 5 }x$
Product = $-15{x}^{2}$

${x}^{2} - 2 \sqrt{5} x - 15 \\ {x}^{2} - 3 \sqrt{5} x + \sqrt{5} x - 15 \\ x(x - 3 \sqrt{5} ) + \sqrt{5} (x - 3 \sqrt{5} ) \\ (x + \sqrt{5} )(x - 3 \sqrt{5} )$

$\boxed{ Answer\:is\:(x + \sqrt{5})(x - 3 \sqrt{5}) }$

Have great future ahead!