What is factor 3z^2-22z+7 ?

The solution to factor 3z^2-22z+7 is (3z-1)(z-7)

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factor 3z^2-22z+7

factor

3 z^{2} - 22 z + 7

(3 z - 1) (z - 7)

Solution steps

3 z^{2} - 22 z + 7

Break the expression into groups

= (3 z^{2} - z) + (- 21 z + 7)

Factor out

z

from

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

Factor out

- 7

from

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

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

Factor out common term

3 z - 1

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

\frac{1}{6} (2)

x^{2} - 10 x + 24

2 x^{2} - 12 x y - 32 y^{2}

- 6 (\frac{4 x}{9} - \frac{8 x - 1}{3}) - \frac{5 x + 2}{3} = - 1

a^{2} - b^{2} + 25 + 10 a