Question

x² - 3√5 - 20 middle term splitting​

Answer 1

Step-by-step explanation:

x^2-4√5x+√5x-20

x(x-4√5)+√5(x-4√5)

(x+√5)(x-4√5)

Answer 2

Step-by-step explanation

Here's your answer-

$x^{2} - 3\sqrt{5}x - 20\\factors of -20 are -4 and 5 :$

So here 5 can be written as $\sqrt{5} *\sqrt{5}$

Now the equation can be written as

$x^{2} -4\sqrt{5} x+\sqrt{5} x-20\\ \\ x(x-4\sqrt{5})-\sqrt{5}(x-4\sqrt{5} )\\\\ (x-4\sqrt{5})(x-\sqrt{5})$

Hence, these are the factors of the given polynomial that we get after splitting the middle term.

Hope this answer helps !