Factor 2k^2+25k+72 completely

Factored Expression; (2k + 9) (k + 8)

Step-by-step explanation:

We are given the expression 2k^2 + 25k + 72, assigned to factor;

2k^2 + 25k + 72 ⇒ break this expression into groups,

(2k^2 + 9k) + (16k + 72) ⇒ factor out k from 2x^2 + 9k,

k * (2k + 9) + (16k + 72) ⇒ factor 8 from 16k + 72,

k * (2k + 9) + 8 * (2k + 9) ⇒ factor out common term 2k + 9,

Solution; (2k + 9) (k + 8)