Question

Find the value that completes the square and then rewrite as a perfect square.

p² + 18p + ?

a 81; (p + 9)
b 4; (p + 2)
c 9; (p + 9)
d 4; (p – 2)

Answer 1

To complete the square and rewrite it as a perfect square, we take half of the coefficient of the middle term and square it. In this case, the value that completes the square is 81.

Step-by-step explanation:

To find the value that completes the square and rewrite it as a perfect square, we need to take half of the coefficient of the middle term and square it. In this case, the middle term is 18p, so half of it is 9p, and the square of 9p is 81p². Therefore, the value that completes the square is 81.