What is factor 6x^2-31x+35 ?

The solution to factor 6x^2-31x+35 is (3x-5)(2x-7)

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factor 6x^2-31x+35

factor

6 x^{2} - 31 x + 35

(3 x - 5) (2 x - 7)

Solution steps

6 x^{2} - 31 x + 35

Break the expression into groups

= (6 x^{2} - 10 x) + (- 21 x + 35)

Factor out

2 x

from

6 x^{2} - 10 x : 2 x (3 x - 5)

Factor out

- 7

from

- 21 x + 35 : - 7 (3 x - 5)

= 2 x (3 x - 5) - 7 (3 x - 5)

Factor out common term

3 x - 5

= (3 x - 5) (2 x - 7)

3 \cdot (5 - 4) - 4 \cdot (5 - 4)

38 < p + 18

u^{2} + 4 u - 21 = 0

- 4 x + 60 < 72 or 14 x + 11 < - 31

5 (4 x - 4) + 2 > - 2 x + 2