Question

How do you factor y=6x^2-x-2

Answer 1

Answer:

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

Step-by-step explanation:

Given :-

• y = 6x² - x - 2

We need to factor out the given expression. For that we may use the middle term splitting method. Taking the equation,

$:\implies$ y = 6x² - x - 2

$:\implies$ y = 6x² - 4x + 3x-2

$:\implies$ y = 2x ( 3x -2) +1( 3x -2)

$:\implies$ y = (2x + 1)(3x -2 )

Hence the required answer is y = (2x+1)(3x-2)

Answer 2

6 x -2 = -12

-12 = 3, -4

y = 6x^2 + 3x - 4x - 2

y = 3x(2x + 1) - 2(2x + 1)

(2x + 1) (3x - 2) = 0

2x = -1, 3x = 2

x = -1/2, 2/3

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