I know that the first term is a quadratic and I suppose that lets us know we are dealing with identifying a curve, and the third term is our constant. I just can't quite put it all together as how they are actually working together. Such as what relationship that have to each other.. Help.
2026-04-23 02:35:40.1776911740
With Trinomial's, can someone explain the purpose of the first, second and third term. In layman terms.
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For the function $y=x^2 + bx + c$, where the lead coefficient is $1$, the second coefficient $b$, with its sign flipped, tells you the sum of the two $x$-intercepts, while the constant term $c$ tells you their product.
In the case of $x^2+2x+15$, you know that, if it has $x$-intercepts, then their sum is $-2$ and their product is $15$. There are no two real numbers satisfying those conditions, so this quadratic has no $x$-intercepts.
Does this address the question you're asking?