What is factor 7z^2-4z-3 ?

The solution to factor 7z^2-4z-3 is (7z+3)(z-1)

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factor 7z^2-4z-3

factor

7 z^{2} - 4 z - 3

(7 z + 3) (z - 1)

Solution steps

7 z^{2} - 4 z - 3

Break the expression into groups

= (7 z^{2} + 3 z) + (- 7 z - 3)

Factor out

z

from

7 z^{2} + 3 z : z (7 z + 3)

Factor out

- 1

from

- 7 z - 3 : - (7 z + 3)

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

Factor out common term

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

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

2^{5} \cdot 2^{7}

2 x \cdot 7

- 8 x + 7 - 5 - 5 x + 5 x

\frac{3}{5} \cdot \frac{6}{8}

7 (g - 3 h + 2)