Question

In step 4 of the construction of a perpendicular line through a point, why must the compass point be placed on the points where the arc intersects with the original line? How would the construction be different if the compass point were placed at random points on the original line?

Answer 1

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x²