What is factor 3z^2+z-4 ?

The solution to factor 3z^2+z-4 is (z-1)(3z+4)

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factor 3z^2+z-4

factor

3 z^{2} + z - 4

(z - 1) (3 z + 4)

Solution steps

3 z^{2} + z - 4

Break the expression into groups

= (3 z^{2} - 3 z) + (4 z - 4)

Factor out

3 z

from

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

Factor out

4

from

4 z - 4 : 4 (z - 1)

= 3 z (z - 1) + 4 (z - 1)

Factor out common term

z - 1

= (z - 1) (3 z + 4)

\frac{243}{32}

(x - y) (m + 2 n)

(- 5) - 1

(7.5)^{2} + (7.5)^{2}

100 x^{2} - 25