synthetic division


Definition of synthetic division

: a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions

First Known Use of synthetic division

1850, in the meaning defined above

Keep scrolling for more

Learn More about synthetic division

Time Traveler for synthetic division

Time Traveler

The first known use of synthetic division was in 1850

See more words from the same year

Statistics for synthetic division

Cite this Entry

“Synthetic division.” Dictionary, Merriam-Webster, Accessed 4 Dec. 2020.

More from Merriam-Webster on synthetic division Encyclopedia article about synthetic division

Comments on synthetic division

What made you want to look up synthetic division? Please tell us where you read or heard it (including the quote, if possible).


Test Your Vocabulary

Musical Words Quiz

  • gramophone
  • Which word describes a musical performance marked by the absence of instrumental accompaniment?
Spell It

Can you spell these 10 commonly misspelled words?

Syn City

Test Your Knowledge - and learn some interesting things along the way.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!