What is factor 21z^2+11z-2 ?

The solution to factor 21z^2+11z-2 is (7z-1)(3z+2)

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factor 21z^2+11z-2

factor

21 z^{2} + 11 z - 2

(7 z - 1) (3 z + 2)

Solution steps

21 z^{2} + 11 z - 2

Break the expression into groups

= (21 z^{2} - 3 z) + (14 z - 2)

Factor out

3 z

from

21 z^{2} - 3 z : 3 z (7 z - 1)

Factor out

2

from

14 z - 2 : 2 (7 z - 1)

= 3 z (7 z - 1) + 2 (7 z - 1)

Factor out common term

7 z - 1

= (7 z - 1) (3 z + 2)

- 9 x + 7 > 25

6 x^{- 1}

w^{2} = 19 w

21 x - 21 > 3 (6 x - 2)

3 x^{2} - 147