What is factor 2r^2-11r+5 ?

The solution to factor 2r^2-11r+5 is (2r-1)(r-5)

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factor 2r^2-11r+5

factor

2 r^{2} - 11 r + 5

(2 r - 1) (r - 5)

Solution steps

2 r^{2} - 11 r + 5

Break the expression into groups

= (2 r^{2} - r) + (- 10 r + 5)

Factor out

r

from

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

Factor out

- 5

from

- 10 r + 5 : - 5 (2 r - 1)

= r (2 r - 1) - 5 (2 r - 1)

Factor out common term

2 r - 1

= (2 r - 1) (r - 5)

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