Solving polynomial equations by factoring?

Mathematics
Tutor: None Selected Time limit: 1 Day

  1. Explain why the zero­factor property works for more than two numbers whose product is 0.
  2. Explain how solving 2(x - 3)(x - 1) = 0 differs from solving 2x(x - 3)(x- 1) = 0
Aug 4th, 2015

Thank you for the opportunity to help you with your question!

a)  At least one  of the two numbers must be zero to obtain 0 as the product.

b)  2(x-3)(x-1)=0

from here, x=3 or 1

2x(x-3)(x-1)=0

x=0, 1 or 3 hence cubic equation

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 4th, 2015

in the second question; what is different other then the solution?

Aug 4th, 2015

in the second equation x is raised to power 3 while in the first x is raised to power 2

thank you so much

Aug 4th, 2015

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