Factoring perfect square trinomials... m² + 8m + 16

Question

I do know that C= (B/2)²

Answer 1

For the perfect square trinomial m² + 8m + 16

  a=1

  b=8

  c=16

 

You do know that c=(b/2)²     [that is, c = (8/2)² = 4² = 16]

 

The factors are:  ( x + (b/2) ) and ( x + (b/2) )      [note: oh, yes, it is a perfect square]

 

The factors are:  (x+4)(x+4)         [verify this using F-O-I-L)