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