Question

what is quartic equation​

Answer 1

a expression in the form of

${ax }^{2} + bx \: + c = 0$

Answer 2

A polynomial equation of its general form

$f(x) = a {x}^{2} + bx + c$

∀ a ≠ 0

is known as a

"QUADRATIC" equation

Whereas,

A polynomial equation of the general form

$f(x) = a {x}^{4} + b {x}^{3} + c {x}^{2} + dx + e$

∀ a ≠ 0

is known as a

"QUARTIC" equation

Notice the difference between

Quartic & Quadratic

A quartic equation of the form :

$f(x) = a_{2} {x}^{4} + a_{1} {x}^{2} + a _{0}$

is Known as a

"BiQuadratic" equation

since, it misses in terms containing third degree and first degree.