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https://en.wikipedia.org/wiki/Quintic_function

**Graph** of a polynomial of degree 5, with 3 real zeros (roots) and 4 critical points.

In algebra, a **quintic** function is a function of the form. g ( x ) = a x 5 + b x 4 + c x 3

+ d x **2** + e x + ... 3 **Beyond** radicals ... Solving linear, quadratic, **cubic** and **quartic**

equations by factorization into radicals can always be done, no matter whether

the ...

https://www.amsi.org.au/teacher_modules/polynomials.html

The **cubic**; The **quartic**; Roots of polynomials; Factoring polynomials ... **2**. We can

factor quadratic expressions, solve quadratic equations and **graph** ... x**2** + 1 is a

non-monic polynomials of degree 4 with leading coefficient and constant term 1.

... of degree 4 is called a **quartic**; a polynomial of degree 5 is called a **quintic**.

https://amsi.org.au/ESA_Senior_Years/PDF/Polynomials2e.pdf

We should also be comfortable with **graphing** polynomials of degree **2**, i.e., .... As

we consider **quintics** and higher, we will see more turning points, more x-

intercepts ... linear. 1. 0 quadratic from 0 to **2**. 1 **cubic** from 1 to 3. 0 or **2 quartic**

from 0 to 4. 1 or 3 ..... As it turns out (and **beyond** the secondary school curriculum

), there is ...

https://amsi.org.au/ESA_Senior_Years/.../2e/2e_2content_7.html

This is the right number of points to determine a **quartic** polynomial.) Solution.

The **graph** shows four x-intercepts at x=−6,−**2**,0,3. .... In principle we could use the

above method to find, say, a **quintic** through six given points, or a ... As it turns out

(and **beyond** the secondary school curriculum), there is actually a formula for the

...

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