8×2-78x+19

Factor -78 out of -78x.

8×2-78(x)+19

Rewrite -78 as -2 plus -76

8×2+(-2-76)x+19

Apply the distributive property.

8×2-2x-76x+19

8×2-2x-76x+19

Group the first two terms and the last two terms.

(8×2-2x)-76x+19

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

2x(4x-1)-19(4x-1)

2x(4x-1)-19(4x-1)

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

(4x-1)(2x-19)

Factor 8x^2-78x+19