Question

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

Answer 1

To make the expression x² + x a perfect-square trinomial, we add the square of half the coefficient of the x term.

Step-by-step explanation:

To make the expression x² + x a perfect-square trinomial, we must add the square of half the coefficient of the x term. In this case, the coefficient of x is 1, so we add (1/2)² = 1/4 to the expression. Therefore, the expression becomes x² + x + 1/4, which is a perfect-square trinomial.

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