Question

factorise: 2x² - x - 1​

Answer 1

2

2

+

−

2

−

1

2x^{2}+x-2x-1

2x2+x−2x−1

(

2

+

1

)

−

1

(

2

+

1

)

Answer 2

ANSWER :

It is given to factorize $2 {x}^{2} - x - 1$,

Follow the steps...

$\Rightarrow \: 2 {x}^{2} - x - 1 \:$

$\Rightarrow \: 2x(x - 1) + (x - 1)$

$\Rightarrow \: 2x(x - 1) + x - 1$

$\Rightarrow \: (x - 1)(2x + 1)$

Thus, the factorization of $2 {x}^{2} - x - 1$ will be $\bf{ (x - 1)(2x + 1)}$.