![]() ![]() Here 2 and 3 are the coefficients of x 2 and x respectively and 5 is the constant term. What is a Quadratic Polynomial Example?Īn example of a quadratic polynomial is 2x 2 - 3x + 5. The general form is given by ax 2 + bx + c. The graph of a quadratic polynomial is a parabola.įAQs on Quadratic Polynomial What is Meant by Quadratic Polynomial?Ī quadratic polynomial is a second-degree polynomial where the highest exponent of a variable is equal to 2.The sum and product of the roots can be substituted in the expression, x 2 - (sum of roots)x + (product of the roots), to get the quadratic polynomial.The discriminant, equal to b 2 - 4ac, is used to check the nature of the roots.The quadratic polynomial formula is given below: An added benefit of this method is that several important conclusions can be made by analyzing the discriminant. Out of all these techniques, the simplest way to find the roots of a quadratic polynomial is by using the formula. These methods are factorizing a quadratic equation, completing the squares, using graphs, and using the quadratic polynomial formula. There are many methods that can be used to find the solutions of an equation containing a quadratic polynomial. When this quadratic polynomial is used in an equation it is expressed as ax 2 + bx + c = 0. The general formula of a single variable quadratic polynomial is given as ax 2 + bx + c. Thus, the roots of this quadratic equation will be x = -2, -2. ![]() ![]() Then to find the solutions of this equation we factorize it as (x + 2)(x + 2) = 0. Suppose we have a quadratic polynomial x 2 + 4x + 4 = 0. This implies that there can be two values of x. As this equation contains a quadratic polynomial, hence, solving it will give two solutions. Here, a and b are coefficients, x is the unknown variable and c is the constant term. The general form of a quadratic equation is given as ax 2 + bx + c = 0. Quadratic Polynomial DefinitionĪ quadratic polynomial is a second-degree polynomial where the value of the highest degree term is equal to 2. The solutions of such an equation are known as the roots or the zeros of the quadratic equation. When a quadratic polynomial is equated to 0 it gives rise to a quadratic equation or a quadratic function. The power of a coefficient or a constant term is not taken into account. To check the degree of a polynomial only the exponent of the variable is considered. A quadratic polynomial is one in which the highest power of a variable term in the polynomial expression is equal to 2. ![]()
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