Question

define bi-quadratic polynomial.i need a short answer.definition

Answer 1

Equation of the form `ax^4+bx^2+c=0`, where `a!=0` is called biquadratic. Biquadratic equations is solved with method of introducing new variable: setting `x^2=y`, we obtain quadratic equation `ay^2+by+c=0`.

Example. Solve equation `x^4+4x^2-21=0`.

Let `x^2=y`, then we obtain quadratic equation `y^2+4y-21=0`. Solutions of this equation are x=-7 and x=3.

Answer 2

Answer:

Step-by-step explanation:

The degree four (quartic case) is the highest degree such that every polynomial equation can be solved by radicals.