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soumyarattesar

Published on June 25, 2014

as a degree 1 polynomial. Quadratic polynomial: A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form . An equation involving a quadratic polynomial is called a quadratic equation . A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation . Cubic polynomial: A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form . An equation involving a cubic polynomial is called a cubic equation . A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation . Zeroes of polynomial: A polynomial is an algebraic expression consisting of multiple terms. The terms of a polynomial can be variables or variables raised to a power of a whole number, a constant or the product of these two. The real number that precedes the variable is called the coefficient . A polynomial involving one variable is called a polynomial in one variable . The highest power of the variable of a polynomial is called the degree of the polynomial. Based on its degree, a polynomial can be called as linear polynomial, quadratic polynomial, cubic polynomial and so on. The general form of a is , where and are real numbers and The general form of a is , where and are real numbers and The general form of a is , where and are real numbers and The value of a polynomial when ( is a real number) is the value obtained by substituting as . It is denoted by . The zero of the polynomial is defined as any real value of x, for which the value of the polynomial becomes zero. A real number is a zero of a polynomial , if . Geometrical Meaning of the Zeroes of a Polynomial : The zero of the polynomial is the -coordinate of the point, where the graph intersects the -axis. If a polynomial intersects the -axis at , then is the zero of the polynomial.