Question

2 root 2 x square+ 11x + 6 root 2

Answer 1

Your equation is 2√2 x²+11x+6√2

Rules for factoring quadratic equation:
1. Find the product of coefficient of x² and constant term
Product:- 2√2 × 6√2 = 24

2. Try to express "coefficient of x" as sum of two numbers such that product of the numbers is the product of coefficient of x2x2and constant term

Coefficient of x = 11 = 3 + 8
We specifically chose 3 and 8 because = 8×3=24 = product of coefficient of x²and constant term

2√2x² + 8x + 3x + 6√2
(2√2x² + 8x) + (3x + 6√2)

Now here is the trick, you have to take common 2√2x from the first bracket and 3from the second bracket.
2√2x (x + 2√2) + 3 (x + 2√2)
(x + 2√2) + (2√2x + 3)

HOPE IT HELPS YOU