Find the perfect square trinomial?

Question

Find the perfect square trinomial whose first two terms are given as:

m^2 + 14m

Answer 1

add (b/2)^2


m^2 + 14m + (14/2)^2
m^2 + 14m + 49

Answer 2

Hi,
A common way to do this is to use the method of completing a square. Here's the procedure:
1) Take 1/2 the coefficient of the middle term, that's 14/2 = 7.
2) Now, square that number and add it to the equation.
m² +14m + (14/2)²
m² + 14m +49

Just remember that if you're doing this in an equation, if you add a number, you also must subtract the same number to maintain the original equatin.

Hope this helps.
FE