Question

The factors of 12x² - x - 35 are​

Answer 1

Solution :

12x² - x - 35 = 0

12x² + 20x - 21x - 35 = 0

4x ( 3x + 5 ) - 7 ( 3x + 5 ) = 0

( 4x - 7 ) ( 3x + 5 ) = 0

Therefore, factors are 4x - 7 and 3x + 5.

If you want to find roots then roots are :

4x - 7 = 0⠀⠀ ⠀and⠀⠀ ⠀3x + 5 = 0

4x = 7⠀⠀ ⠀⠀ and ⠀⠀ ⠀3x = - 5

x = 7/4⠀⠀ ⠀ ⠀and ⠀⠀ ⠀x = - 5/3

Answer 2

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Given, 

12x²−x−35

=12x²−21x+20x−35

=3x(4x−7)+5(4x−7)

=(4x−7)(3x+5)