Question

Which value must be added to the expression x² + x to make it a perfect-square trinomial?

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Answer 1

To make the expression x² + x a perfect-square trinomial, add 1/4 to it.

Step-by-step explanation:

To make the expression x² + x a perfect-square trinomial, we need to add the square of half of the coefficient of x to the expression. The coefficient of x is 1, so half of it is 1/2. The square of 1/2 is 1/4. Therefore, we need to add 1/4 to the expression to make it a perfect-square trinomial.

Learn more about Perfect-square trinomials