Answer:
<em>Factored Expression; ( 2k + 9 )( k + 8 )</em>
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,
<em>Solution; ( 2k + 9 )( k + 8 )</em>