Question

Factorise middle term factorisation

(I) 2x^2+3√5x+5
(ii) x^2+√2x-4
(iii) 6x^2+40-31x

Please solve this question
Which one I feel best I will select brainlist answer.

Answer should be perfect with steps wise.

Answer 1

                                      ☺☺☺

1.Factorize 2x² + 3√5x + 5 .

Solution :  2x² + 3√5 x + 5

            = 2x² + 2√5 x + √5 x + 5

            = 2x ( x + √5  ) + √5  ( x + √5 )

            = ( x + √5 ) ( 2x + √5 ).

                      --------------------------------------------------

2. Factorize x² + √2 x - 4.

Solution : x² + √2 x - 4 

            = x² + 2√2 x - √2 x - 4

           = x ( x + 2√2 ) - √2 ( x + 2√2 )

           = ( x + 2√2 ) ( x - √2 )

                   -------------------------------------------------

3. Factorize 6x² + 40 - 31x.

Solution : 6x² + 40 - 31x

            = 6x² - 31x + 40
           
           = 6x² - 15 x - 16 x + 40

          = 3x ( 2x- 5 ) - 8 ( 2x - 5 )

          = ( 2x - 5 ) ( 3x - 8 )

          
                                    ☺☺☺