Question

factorise 3x² + 8√2x -6

Answer 1

Hey !!!

3x² + 8√2x - 6

3x² + 9√2 x- √2 - 6 [spliting term ]

3x ( x + 3√2 ) - √2 ( x + 3√2 )

(3x - √2 ) (x + 3√2 ) [ taking common term ]

hence , here factorise ✔

( 3 x - √2 ) ( x + 3√2 ) is the factor of given quadratic equation

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Hope it helps you !!!

@Rajukumar111

Answer 2

Hi ,

3x² + 8√2 x - 6

= 3x² + 9√2x - √2x - 6

= 3x² + 9√2 - √2x - 3 × √2 × √2

= 3x( x + 3√2 ) - √2 ( x + 3√2 )

= ( x + 3√2 )( 3x - √2 )

I hope this helps you.

: )