Respuesta :
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:
1 unit to be added
Step-by-step explanation:
we need to find what needs to added with the expression [tex]x^2 + 4x + 3[/tex] 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
[tex]x^2 + 4x + 3+1[/tex]
[tex](x+2)^2[/tex]
