Maths - Quartics
What is a quartic?
A 4-th degree polynomial.
What’s the largest number of (real) solutions a quartic can have?
$4$.
What’s the smallest number of (real) solutions a quartic can have?
$0$.
I want to make a quartic with only two roots, $3$ and $4$. How could I do this?
\[(x-3)(x-3)(x-4)(x-4)\]
Visualise the quartic $x^2(x-3)(x+3)$?
PHOTO
When sketching a quatic, what’s the process?
- Add the roots to an axis
- Add the y-intercept