Example Question - factorizing quadratic equations

Factorization of a Quadratic Expression

The expression given in the image is: \[ x^2 - 5x \] To factorize this expression, we need to find the greatest common factor (GCF) of the terms present in the expression. Here, the GCF of \( x^2 \) and \( -5x \) is \( x \). Now we'll factor out the GCF from each term: \[ x^2 - 5x = x(x - 5) \] The expression has been factorized into the product of \( x \) and \( (x - 5) \).