Question

Complete the expression to form a perfect-square trinomial: x² −5x+_________________.

A) 2.5
B) 6.25
C) 12.5
D) 25

Answer 1

To form a perfect-square trinomial, we need to take half of the coefficient of the x-term, square it, and add it to both sides of the equation. In this case, the coefficient of the x-term is -5, so half of that is -2.5. Squaring -2.5 gives us 6.25.

Step-by-step explanation:

To form a perfect-square trinomial, we need to take half of the coefficient of the x-term, square it, and add it to both sides of the equation. In this case, the coefficient of the x-term is -5, so half of that is -2.5. Squaring -2.5 gives us 6.25. So the complete expression to form a perfect-square trinomial is x² - 5x + 6.25.