Can someone please help me explain how to figure out this problem t^2+t14t+24

Question

what grouping or is this a perfect square

 

Answer 1

I assume that the "problem" is to factor this expression:

 

     t² + 14t + 24

 

You want two numbers that multiply to give 24 and add to give 14.  Answer: 12 and 2: 12*2 = 24, 12 + 2 = 14:

 

     t² + 14t + 24 = (t+12)(t+2)