What is the trinomial of x2 plus 8x-9?

Answer 1

x2 + 8x - 9 is a quadratic expression that describes a parabolic function. It can be factored out as:

(x + 9)(x - 1)

Which tells us that if we graphed it as a function of x, it would intersect the x-axis at the points (-9, 0) and (1, 0).

It's derivative is:

2x + 8

which tells us that it's vertex is at the x-location -4, at the point (-4, -25).

The second derivative is 2, which tells us that the vertex is a minimum, and that the function's range is:

{f(x) | f(x) ≥ -25, f(x) ∈ ℜ}