Using polynomial to represent the area of a box to factor out the GCF

The video tutorial explains factoring polynomials by relating it to finding the side lengths of a rectangle. The teacher introduces the concept of factoring out the greatest common factor (GCF) and uses a rectangle analogy to help students visualize the process. The tutorial guides students through identifying common factors and calculating the GCF, using 5X as an example. Finally, the teacher demonstrates how to express the polynomial in its factored form.

What does it mean to find the side lengths of a rectangle when factoring?

Can you describe how to factor the expression 5X^3 + 10X^2 - 15?