Question

How many unit tiles need to be added to the expression x2 + 4x + 3 in order to form a perfect square trinomial?

Answer 1

The number to be added in an expression x2 + 4x + 3 in order to make it as a perfect trinomial is 1, we need to add 1 to 3 to make it 4 since 4 is a perfect square. Thus, the equation is then x2 + 4x + 4 and the factor of it would bew (x+2)(x+2).

Answer 2

Answer:

We need to add 1.

Step-by-step explanation:

The given expression is :

$x^{2} +4x+3$

We have to add 1 to the expression.

$x^{2} +4x+3+1$

This makes it : $x^{2} +4x+4$

And its factor will be $(x+2)(x+2)$

or we can write as : $(x+2)^{2}$

Therefore, we should add 1 unit tiles to the given expression in order to form a perfect square trinomial.