Question 21012
Hello There:

x^2 - 14*x + 49 is factorable if we can find two numbers that multiply to make 49 and add to make -7.

With a little thought, you should realize that these two numbers are -7 and -7.

(-7)*(-7) = 49

-7 - 7 = -14

So, the factorization is:

(x - 7)*(x - 7) = (x - 7)^2

~ Mark