When we want to divide one Quadratic Equation by another quadratic equation then we can easily divide it by Factorization method. Cancel out the common factors from the dividend and the divisor quadratic equation. Let us see some steps to learn division in quadratic equation:
Step 1: First we need two quadratic equations. Assume that we have one quadratic equation x2 + 2x – 3 and other is x2 – 1.
Step 2: Now we will find the factors of both quadratic equations. Factors of quadratic equation x2 + 2x – 3 are x2 + 3x – x – 3 = (x - 1) (x + 3).
Factors of second quadratic equation x2 – 1 are (x – 1)(x + 1).
Step 3: Now divide the first quadratic equation by second quadratic equation. Divide the factors of first equation by factors of second equation.
(x - 1)(x + 3) / (x - 1)(x + 1).
In both numerator and denominator there is a factor (x - 1) which is in common. So we will cancel it out from both numerator and denominator. So remaining factors are (x + 3) / (x + 1).
Step 4: Now we can write the factor x + 3 as x + 1 + 2. So we will divide it by (x + 1). When we divide (x + 1 + 2) by (x + 1) we will get 1 + (2 /(x + 1)).