Utilizing the properties of associative as we will as distributive, we’ve. In algebra, we study about relationships between constants as we will as variables. We often come across with polynomials in algebra. Literally, the word ‘polynomial’ is composed of two words – poly (many) as we will as nomial (terms). Thus, a polynomial is an expression which has many terms.
More elaborately, an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient as we will as variable/variables raised to a non-negative integer power is called a polynomial. The general form of a polynomial function is -. f(x) = $a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+. +a_{0}$. . Where, n is simply a non negative integer as we will as $a_{n}$ isn’t equal to zero, then f(x) is said to be the polynomial of degree n The degree of a polynomial is defined as the greatest of the exponents of variables contained in the polynomial. A first. degree polynomial, i e. a polynomial having one as highest power, is known as a linear polynomial.
A second degree polynomial,. i e. a polynomial with two as its highest power,. is known as a quadratic polynomial. Similarly, a third degree polynomial is simply a polynomial which has three as the greatest exponent of variables. It’s also known as a. cubic polynomial. . A cubic polynomial is simply a polynomial of degree 3 A function of the form P(x) = a3x3 + a2x2 + a1x + a0 is simply a cubic function with a3 $neq$ 0. Let us go ahead as we will as learn more about cubic polynomials or third degree polynomials.
