Question

How many unit tiles need to be added to the expression x^2 + 4x + 3 in order to form a perfect square trinomial

Answer 1

In the question "How many unit tiles need to be added to the expression x2 + 4x + 3 in order to form a perfect square trinomial" the correct answer is 1 unit tile. Because, to make the expression x^2 + 4x + 3 a perfecr square trinomial we have x^2 + 4x + 3 + 1 = x^2 + 4x + 4 = (x + 2)^2

Answer 2

1 unit to be added

Explanation:

we need to find what needs to added with the expression
`x^2 + 4x + 3` to make perfect square trinomial

we use completing the square method

LEts take x^2 + 4x

In completing the square method, we take the coefficient of x and divide it by 2. then we square it

4 divide by 2 is 2

2^2 = 4

So to make perfect square we need 4 at the end.

In the given expression we have +3, so we add 1 to get 4

`x^2 + 4x + 3+1`

`(x+2)^2`