Question

What is the missing constant term in the perfect square that starts with x2−8x?

Answer 1

To determine the missing constant term in the perfect square, complete the square by adding the square of half the coefficient of the x-term.

Step-by-step explanation:

To determine the missing constant term in the perfect square that starts with x² - 8x, we need to complete the square. Here's the step-by-step process:

1. Identify the quadratic expression, which is x² - 8x.
2. Take half of the coefficient of the x-term and square it. In this case, half of -8 is -4, and -4 squared is 16.
3. Add the squared value to the quadratic expression, resulting in x² - 8x + 16.
4. The constant term in the perfect square is 16.