Question

how do you show soemthing is a non negative quadratic polynomial

Answer 1

its everything above and including x^2 id assume

Answer 2

complete the square and get it into vertex form y = a(x-h)^2+k


If a > 0, then a(x-h)^2 is always positive


So you only need to show that k >= 0

Answer 3

determine the value of the vertex; and make sure the first number is at least positive