Question

Find the factors of
$2 {x }^{2} + 3 \sqrt{5}x + 5$
​

Answer 1

Answer:

The factors of the polynomial are (2x+✓5) and (x+✓5)

Step-by-step explanation:

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

Answer 2

MARK AS BRAINLIEST PLS PLS

$2x ^{2} + 3 \sqrt{5} + 5$

$2 {x}^{2} +( 2\sqrt{5} + \sqrt{5} )x+ 5 \\ 2 {x}^{2} + 2 \sqrt{5}x + \sqrt{5}x + 5 \\ 2x(x + \sqrt{5} ) + \sqrt{5} (x + \sqrt{5} ) \\( x + \sqrt{5})(2x + \sqrt{5} ) \\ x = - \sqrt{5} = - { \frac{ - \sqrt{5} }{2} }$