Question

Factorize: 6x2 + x – 1​

Answer 1

Given -

• 6x² + x - 1

Question asked -

• Factorize

Solution -

• 6x² + x – 1
• 6x² + 3x - 2x - 1
• 3x(2x + 1) - 1 (2x +1)
• (3x - 1)(2x + 1)

Answer 2

Answer:

• x = ( - 1/3 )
• x = 1/2

Step-by-step explanation:

$6 {x}^{2} + x - 1$

$6 {x}^{2} - 3x + 2x - 1$

$3x(2x - 1) + 1(2x - 1)$

$(3x + 1)(2x - 1)$

Possible values of x =

$(i) \: 3x + 1 = 0 = > x = - \frac{1}{3}$

$(ii) \: 2x - 1 = 0 = > x = \frac{1}{2}$