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If the product of a and b is zero, i.e., ab = 0, then either a = 0 or b = 0 Now, collect the common term in the bracket (x-3) and make the equation in the following way, The factors of 6 whose sum is equal to -5 is -3 and -2 With this, let us start solving the problems by method of factorization by splitting the middle term. Factorize the term ‘ac’ such that the sum of the factors is equal to b.Consider the general form of a quadratic equation i.e., ax 2 + bx + c = 0.The roots always exists in a pair.īefore starting to solve the quadratic equation, follow the steps below. An important point to be noted is that, a quadratic equation cannot have more than two distinct roots.
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The roots of a quadratic equation are the values of ‘x’, which should satisfy the given equation. Among all these methods, factorization is a very easy method. We can find the roots using factorization method, completing the square method and by using a formula. There are three different methods to find the roots of any quadratic equation. The general form of a quadratic equation is, ax 2 + bx + c = 0 where a, b, c are real numbers, a ≠ 0 and x is a variable. X 2 + 2x + 1 3x 2 + √6x Quadratic EquationĪn equation p(x) = 0, where p(x) is a quadratic polynomial, is called a quadratic equation. The general form of a quadratic polynomial is ax 2 + bx + c, where a, b, c are real numbers, a ≠ 0 and x is a variable. In the following lines, I will be defining some important terms before getting down to solving quadratic equations by factorization method using simple examples.ĭefinitions of a Quadratic Equation Quadratic PolynomialĪ polynomial of a second degree is called a quadratic polynomial. So, any equation having two as the maximum value of power, can be called a ‘quadratic equation’. The term ‘quadratic’ comes from a Latin word ‘quadratus’, which means ‘square’. Are you on the lookout for an easy way to solve quadratic equations? Well, then here is a simple way to solve a quadratic equation and to find the roots of the given equation by factorization method.