Question

1ptWhat value of c would make x2 – 14.c +ca perfect square?C=What is the factored form of this expression for this value of c?(.)?

Answer 1

The value of c would be 49 and the factored form will be;

`(x-7)^2`

Here, we want to get the value of c that will make the expression a perfect square

We proceed as follows;

Divide the coefficient of x by 2 ;

That would be; -14/2 = -7

Now, square this value; that would be (-7)^2 = 49

The value 49 would make the expression a perfect square

Thus, we have the factored form as follows;

`(x^2-14x+49)\text{ = (x-7)(x-7)}`