SOLUTION: Express the following expressions in the form of a(x + b) + c where a, b and c are constants. x2 – 14x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Express the following expressions in the form of a(x + b) + c where a, b and c are constants. x2 – 14x      Log On


   

Question 848410: Express the following expressions in the form of a(x + b) + c where a, b and c are constants.
x2 – 14x
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
x²–14x

To the side:
Multiply -14 by 1%2F2, getting -7
Square -7, getting (-7)² or +49
Make the zero sum +49-49, and add that
to the given expression:

x²-14x+49-49

Factor the first three terms

(x-7)(x-7)-49

Write that as

(x-7)²-49

Put a 1 in front of the binomial squared:

1(x-7)²-49

That is in the form

a(x+b)+c

a=1, b=-7, c=-49

Edwin