Example Question - factorize quadratic expressions

Factorization of Quadratic Expressions

To factorize the given expression in question 1, which is x^2 - 5x, you can factor out the greatest common factor (GCF), which in this case is x. Here's how: x^2 - 5x = x(x - 5) The expression is now factored as the product of x and (x - 5). For question 2, the expression to factorize is x^2 - 25. This is a difference of squares, which can be factored into the product of a sum and difference of the roots. Here's the factorization: x^2 - 25 = (x + 5)(x - 5)