Answer:
6x² + x - 12 = (2x + 3) (3x - 4)
Explanation:
Factor 6x² + x - 12 by grouping
we need to rewrite the middle term as a sum of two terms whose product is (6* −12) = −72 and whose sum is 1
The middle term = x = 9x - 8x
6x² + x - 12
= 6x² + 9x - 8x - 12 Grouping the first two terms and the last two terms
= (6x² + 9x) + ( - 8x - 12)
From the first two terms take 3x as a common and from the two terms take (-4) as a common
= 3x ( 2x + 3) -4 (2x + 3)
Take (2x + 3) as a common
= (2x + 3) (3x - 4)