What is factor 6x^2-23x+21 ?

The solution to factor 6x^2-23x+21 is (2x-3)(3x-7)

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factor 6x^2-23x+21

factor

6 x^{2} - 23 x + 21

(2 x - 3) (3 x - 7)

Solution steps

6 x^{2} - 23 x + 21

Break the expression into groups

= (6 x^{2} - 9 x) + (- 14 x + 21)

Factor out

3 x

from

6 x^{2} - 9 x : 3 x (2 x - 3)

Factor out

- 7

from

- 14 x + 21 : - 7 (2 x - 3)

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

Factor out common term

2 x - 3

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

- 5 \cdot 9

\frac{1}{3} t - 5 < t - 2 \leq - 3 t + 7

8 x^{5} - 58 x^{4} + 60 x^{3} + 140

\frac{3 !}{( 3 - 2 ) ! \cdot 2 !}

4 \leq 2 x - 2 \leq 12