An algebraic expression f(x) of the above mentioned form is called Polynomial.

Floating Topic

Value of a polynomial The value of a polynomial f(x) at x = α in the given polynomial and is denoted by f(α)

Zero(es) of a polynomial x = r is a zero of a polynomial p(r) = 0

Linear Polynomial where a,b are real numbers and a is not zero

Quadratic Polynomial where a, b, c are real numbers and a is not zero

Cubic Polynomial where a,b,c,d are real numbers and a is not zero

Cubic Polynomial: Hyperbola with atmost three zeroes

Linear Polynomial: Straight line with exactly one zero

Quadratic Polynomial: Parabola with atmost two zeroes

Zero(es) of a polynomial is/are of the coordinate of the point(s) where graph y = f(x) intersects the x-axis.

If α,β and γ are the zeroes of a cubic polynomial

Zero of a linear polynomial ax + b is x = -b/a

If α and β are the zeroes of a quadratic polynomial

Product of Zeroes

Sum of Zeroes

Sum of product of Zeroes

Sum of Zeroes

Product of zeroes