Maths - Quartics

Created: October 11, 2020

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 x2(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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