Find the value of c that makes the expression a perfect square trinomial.

x2 + 4x + c

the value of c that makes the expression a perfect square binomial is c=4 .

Step-by-step explanation:

Here we have , an expression x2 + 4x + c or , . We need to find  the value of c that makes the expression a perfect square binomial. Let's find out:

We have ,  

⇒

⇒

Now , we know that

Comparing above equation  , to   we get ;

⇒              {  }

⇒  

⇒  

Therefore , the value of c that makes the expression a perfect square binomial is c=4 .

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step-by-step explanation:

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