Can the concept of the discriminant be extended to higher-degree polynomials?

Sep 3, 2020 ... Explanation. In the quadratic formula, −b±√(b2−4ac) / 2a, the term b2−4ac is called the discriminant. The discriminant plays an important role ... Summary. The symbol over the b2-4ac is called a 'radical', or a square root symbol; ' ± ' means 'plus or minus'; The DISCRIMINANT is the expression under ... May 31, 2018 ... ... (2,Z) is denoted by h(d) and called the class number of binary quadratic forms of discriminant d. Note: d = b2 − 4ac, so d ≡ 0 or 1 mod 4. May 30, 2023 ... The square root of the discriminant gives us (Edit: double?) the distance that each quadratic root lies either side of where the axis of symmetry crosses the x ... ... b2​=a(x+2ab​)2 ... −(b2 − 4ac) = 4ac − b2. The formula for h has a denominator of 2a; double ... The answer is statement 1 only, which would be selection A. A graph that meets the criteria expressed above would be: -x^2 + x - 1. given the nature of the roots, to find the condition that makes this happen. Find the nature of the roots of 9x² +24x+16=0. a = 9 b=24 c = 16 b2-4ac ... (b) The point P = (1,−1,2) lies on both the paraboloid x2+y2 = z and the ... If a 6= 0 and b2 − 4ac > 0, then y has the form c1eαx + c2eβx where α ... The quadratic formula, x=- b±sqrt(b^2-4ac)/2a, can be derived by completing the square on the general standard form a quadratic equation. 17 In the quadratic formula, b2 − 4ac is called the discriminant. The function f(x) has a discriminant value of 8, and g(x) has a discriminant value of.