Question

What value of c makes the polynomial below a perfect square?

Answer 1

81/4
Because I found the answer by using a Calculator I found online

Answer 2

B

Explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2(
`(9)/(2)` )x + (
`(9)/(2)` )²

= x² + 9x +
`(81)/(4)` ← the value of c

= (x +
`(9)/(2)` )² ← a perfect square