4n2+19n-30

Factor 19 out of 19n.

4n2+19(n)-30

Rewrite 19 as -5 plus 24

4n2+(-5+24)n-30

Apply the distributive property.

4n2-5n+24n-30

4n2-5n+24n-30

Group the first two terms and the last two terms.

(4n2-5n)+24n-30

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

n(4n-5)+6(4n-5)

n(4n-5)+6(4n-5)

Factor the polynomial by factoring out the greatest common factor, 4n-5.

(4n-5)(n+6)

Factor 4n^2+19n-30