Complete the square to form a perfect square trinomial.
X^2+4x+____
How do I do this?
To complete the square and form a perfect square trinomial for the given quadratic expression (X^2+4x+____), follow these steps:
Step 1: Take half of the coefficient of the "x" term and square it.
In this case, the coefficient of the "x" term is 4. So, half of 4 is 2, and 2 squared is 4.
Step 2: Add the value obtained in Step 1 to the expression.
In this case, add 4 to X^2 + 4x.
The expression becomes X^2 + 4x + 4.
Therefore, the perfect square trinomial is X^2 + 4x + 4.
To complete the square and form a perfect square trinomial, follow these steps:
Step 1: Identify the coefficient of the linear term, which is the x-term. In this case, the coefficient is 4.
Step 2: Take half of the coefficient squared. In this case, (4/2)^2 = 4.
Step 3: Add the result from step 2 to the trinomial. In this case, add 4 to the trinomial X^2 + 4x.
X^2 + 4x + 4
The result X^2 + 4x + 4 is a perfect square trinomial.