Polynomial
A
function f(x) defined by f(x) = a0 xn + a1xn-1 +……..an-1x + an
(a0 ¹ 0) where n is non-negative integer and a0, a1, a2…,an-1, an
are constants is called polynomial of degree n in x.
In
particulars, the functions
f(x)
= ax + b, g(x) = ax2 + bx + c, h(x) = ax3 + bx2
+ cx + d respectively are the linear, quadratic and cubic polynomial.
Polynomial equation
The
equation of the form
a0xn
+ a1xn-1 + …….+ an-1x + an
= 0 (a ¹), where n is non-negative
integer and a0, a1, a2 ….. an are
constants is called polynomial equation of degree n in x.
In
particular, ax + b = 0, ax2 + bx + c = 0 and ax3 + bx3
+ cx + d = 0 respectively are the linear, quadratic and cubic equations.
Quadratic Equation:
The
equation of the form ax2 + bx + c = 0 (a ¹ 0) is called quadratic equation.
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