Zero Polynomial - Definition, Degree & Zero of Zero Polynomial, Examples
The domain is the set of values of the variable x for which the function is defined and the range is the set of values of the variable y that is dependent. The degree of zero polynomial is usually undefined unless a degree is assigned then it is -1 or ∞. A degree of a polynomial is considered ... However, some mathematics define the degree of zero polynomial as negative usually written as -1 or -. Any polynomial with all the variables that have their coefficients equal to zero is called zero polynomial. Hence, the value of a zero polynomial is zero. The function that defines it is called a constant function or zero map usually expressed as P(x) = 0, where x is the variable of the polynomial whose coefficient is zero.The zero polynomial function is defined as y = P(x) = 0 and the graph of zero polynomial is the x-axis. The domain is considered as real numbers and the range is zero. The domain is the set of values of the variable x for which the function is defined and the range is the set of values of the variable y that is dependent. The degree of zero polynomial is usually undefined unless a degree is assigned then it is -1 or ∞. A degree of a polynomial is considered as the maximum degree of its non-zero terms while a zero polynomial does not have any non-zero terms.Therefore the equation of the quadratic polynomial is x2 - 2x - 15 = 0. Example 2: Find the degree of the polynomial 5x4 + 3x2 - 7x5 + x7Arrange these terms in descending order of their powers, which gives x7 - 7x5 + 5x4+ 3x2 Term with the greatest or highest exponent is x7, so the degree of the polynomial is 7. Therefore, the degree of the polynomial is 7. ... Breakdown tough concepts through simple visuals. Math will no longer be a tough subject, especially when you understand the concepts through visualizations. ... A zero polynomial is a type of polynomial where the coefficients of the variables are equal to 0.