 Hello and welcome to the session. Let us understand the following problem today. Find the rules of the following quadratic equation by factorization. Given to us as x square minus 3x minus 10 is equal to 0. Now let us first understand the key idea for the problem. The 0's of the quadratic polynomial square plus bx plus c is equal to 0 and the rules of the quadratic polynomial x square plus bx plus c is equal to 0 are the same. Now let us write the solution. Given to us as x square minus 3x minus 10 is equal to 0. Now to factorize we shall use the method of splitting the middle term. Here middle term is equal to minus 3x which can be written as minus 5x plus 2x. So we get, it implies x square minus 5x plus 2x minus 10 is equal to 0. Now taking x common from these two we get x minus 5 plus 2 common then x minus 5 is equal to 0 which implies x minus 2 into x minus 5 is equal to 0. So the values of x for which x square minus 3x minus 10 is equal to 0 are the same for which x plus 2 into x minus 5 is equal to 0. Therefore either x minus 5 is equal to 0 or x plus 2 is equal to 0. Which implies x is equal to 5 and this implies x is equal to minus 2. Hence require roots are 5 and minus 2. I hope you understood this problem. Bye and have a nice day.