[tex]-2x² + x + 21[/tex]
Common factor
[tex]-2x² + x + 21[/tex]
[tex]-1(2x²-x-21)[/tex]
Use the sum-product pattern
[tex]-1(2x²-x-21)[/tex]
[tex]-1(2x² +6x-7x - 21)[/tex]
Common factor from the two pairs
[tex]-1(2x² + 6x - 7x - 21)[/tex]
[tex]-1(2x(x + 3) - 7(x+3))[/tex]
Rewrite in factored form
[tex]-1(2x(x + 3) - 7(x+3))[/tex]
[tex]-1(2x-7)(x+3)[/tex]
Answer :-[tex]{\large{ \red{{{-1(2x-7)(x+3)}}}}}[/tex]