How do you factor completely #x^2-14x+49#?

1 Answer
Dec 19, 2016

Answer:

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

Explanation:

All the information you need is in the quadratic trinomial ... Read from right to left:

Find factors of 49 which ADD (+) to give 14.

These will be #7 and 7# because:
#7 xx 7 = 49 and 7+7 = 14#

The + sign shows that the signs in the brackets will be the SAME, the minus (-) shows that they will be negative:

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