What is factor 3z^2+z-2 ?

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

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factor 3z^2+z-2

factor

3 z^{2} + z - 2

(3 z - 2) (z + 1)

Solution steps

3 z^{2} + z - 2

Break the expression into groups

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

Factor out

z

from

3 z^{2} - 2 z : z (3 z - 2)

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

Factor out common term

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

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

7 x + 7 = \frac{3 x - 9}{4}

1 2^{2} + 1 2^{2} = x^{2}

(7 - 2)^{2}

(7 + 2) (7 - 2)

- 3 \leq 2 x + 5 < 7