Maths - Quartics

2020-10-11
1 min read
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

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date: 2020-10-11 11:51
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title: Maths - Quartics