Question

Rewrite the expression with a perfect square: x^2 - 14x + 11

Answer 1

   Factoring  x2-14x+11 

The first term is,  x2  its coefficient is  1 .

The middle term is,  -14x  its coefficient is  -14 .

The last term, "the constant", is  +11 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 11 = 11 

Step-2 : Find two factors of  11  whose sum equals the coefficient of the middle term, which is   -14 .

     -11   +   -1   =   -12     -1   +   -11   =   -12     1   +   11   =   12     11   +   1   =   12

Observation : No two such factors can be found