Question

Find a possible formula for a polynomial with zeros at (and only at) x = −2,2,5, a y-intercept at y = 5, and long-run behavior of y → −∞ as x → ±∞.

Answer 1

y might be in the form: y = (-x^2 + 5)
When x = 0 -> y = 5
When x goes to -infinity and + infinity, y goes to -infinity.
When y = 0 -> x^2 = 5 --> x = - or + 2.235 (???) Not sure!