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

We need to add 1.

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.

Answer 2

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).