8c2-22c+5

Factor -22 out of -22c.

8c2-22(c)+5

Rewrite -22 as -2 plus -20

8c2+(-2-20)c+5

Apply the distributive property.

8c2-2c-20c+5

8c2-2c-20c+5

Group the first two terms and the last two terms.

(8c2-2c)-20c+5

Factor out the greatest common factor (GCF) from each group.

2c(4c-1)-5(4c-1)

2c(4c-1)-5(4c-1)

Factor the polynomial by factoring out the greatest common factor, 4c-1.

(4c-1)(2c-5)

Factor 8c^2-22c+5