Question

Q.10: Factors of 3x² - x - 4 are :
O (3x-4)(x+1)
O (3x-4)(x-4)
O (3x+4)(x-1)
O (3x+4)(x+1)​

Answer 1

$\textbf{\huge\underline{\underline\red{solution} : - }} \\ \\ \tt \purple{ \red{= >} 3{x}^{2} - x - 4 } \\ \\ \tt \purple{ \red{= >} 3{x}^{2} + 3x - 4x- 4 } \\ \\ \tt \purple{ \red{= >} 3x (x + 1 ) - 4(x + 1)} \\ \\ \tt \purple{ \red{= >} (3x - 4)(x + 1) } \\ \\ \sf \blue{ hence \: answer \: is \red{ \: \: \: \: (3x - 4)(x + 1).}} \\ \\ \fcolorbox{red}{aqua}{i \: hope \: it \: helps \: you.}$