Receive updates from The Math Doctors for free, starting right now.
We can deliver them by email, via your phone or you can read them from a personalised news page on follow.it.
This way you won't miss any new article from The Math Doctors. Unsubscribe at any time.
Site title: The Math Doctors – Continuing the Mentoring Tradition of Ask Dr. Math ™
Is this your feed? Claim it!
In searching for questions about polynomial division, I ran across several about problems where you are given the remainders when an unknown polynomial is divided by two or three different small polynomials, and have to find the remainder wh...
Last time, we saw how to divide polynomials using long division, which takes a lot of time and space. For the simplest cases, dividing by a monic linear polynomial \((x-c)\), there is a much more efficient method. We’ll again see both how to...
Having just looked at the Rational Zero Theorem, I realized we’ve never covered how to divide polynomials, which is used closely with that theorem. Here we’ll look at long division, and then, next time, at synthetic division, its efficient vers...
A recent question reminded me that we have not yet covered the Rational Root Theorem (or Rational Zero Theorem), though it has been occasionally mentioned (e.g. here and href="https://www.themathdoctors.org/factoring-a-...
A recent question about the precise meaning of “difference” led me to some past discussions of the word.
This came from Amia in August:
Hi Dr Math,
I have this question :
Does the difference between two numbers mean to subtract the small number from the large number?
I answered:
