Question

Find the value of c such that the expression is a perfect square trinomial


x squared plus 4x plus c

Answer 1

Answer:

c = 4

Step-by-step explanation:

In a perfect square trinomial, the following relationship is true:

$(x+y)^2=x^2+2xy+y^2$

In order for the given expression to be a perfect square trinomial:

$x^2=x^2\\4x=2xy\\c=y^2$

Solving for 'c':

$4x=2xy\\y=2\\c=y^2=2^2\\c=4$

Therefore, c must be equal to 4.