What is factor 12x^2+4x-21 ?

The solution to factor 12x^2+4x-21 is (6x-7)(2x+3)

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factor 12x^2+4x-21

factor

12 x^{2} + 4 x - 21

(6 x - 7) (2 x + 3)

Solution steps

12 x^{2} + 4 x - 21

Break the expression into groups

= (12 x^{2} - 14 x) + (18 x - 21)

Factor out

2 x

from

12 x^{2} - 14 x : 2 x (6 x - 7)

Factor out

3

from

18 x - 21 : 3 (6 x - 7)

= 2 x (6 x - 7) + 3 (6 x - 7)

Factor out common term

6 x - 7

= (6 x - 7) (2 x + 3)

2 (P + 1) + 3 (P + 2) > 2

\frac{n}{9} + 3 + 1 \leq 10 + 2

\frac{x - 2}{3} = \frac{x + 4}{4}

2 x^{3} + 3 x^{2} - 18 x + 8

g (2) = 2 + 3