Question

Do this question if you are interested

`- 2x ^(2) + x + 21`
:)​

Answer 1

`-2x² + x + 21`

Common factor

`-2x² + x + 21`

`-1(2x²-x-21)`

Use the sum-product pattern

`-1(2x²-x-21)`

`-1(2x² +6x-7x - 21)`

Common factor from the two pairs

`-1(2x² + 6x - 7x - 21)`

`-1(2x(x + 3) - 7(x+3))`

Rewrite in factored form

`-1(2x(x + 3) - 7(x+3))`

`-1(2x-7)(x+3)`

Answer :-
`{\large{ \red{{{-1(2x-7)(x+3)}}}}}`