What is factor 2z^2-9z+7 ?

The solution to factor 2z^2-9z+7 is (z-1)(2z-7)

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factor 2z^2-9z+7

factor

2 z^{2} - 9 z + 7

(z - 1) (2 z - 7)

Solution steps

2 z^{2} - 9 z + 7

Break the expression into groups

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

Factor out

2 z

from

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

Factor out

- 7

from

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

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

Factor out common term

z - 1

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

195

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