Question

split the middle term ✓2x²+5x +3✓2​

Answer 1

Step-by-step explanation:

By midlle term splitting method

Answer 2

Solution :-

By 'Splitting the Middle Term',

ab = $3\sqrt{2} \times \sqrt{2} x^2 = \bold {6x^2}$ ; a + b = 5x

a = 2x and b = 3x

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

Picking out the Common Factors', we get,

$\Rightarrow \sqrt{2x} (x + \sqrt{2} ) + 3 (x + \sqrt{2})\\\\\Rightarrow \bold {(\sqrt{2}x + 3)(x + \sqrt{2})}$

Conclusion :-

The Factorized Form of $\sqrt{2} x^2 + 5x + 3\sqrt{2}$ is $\bold {(\sqrt{2} x + 3)(x + \sqrt{2} )}$

--

#HappyLearning!

Please Give a Thanks and Mark this Answer as the Brainliest..