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Wordabulary

factor theorem

Pronunciation
Noun B2 Upper-intermediate

Quick answer

A rule stating that a polynomial has (x minus a) as a factor if and only if substituting a into the polynomial gives zero.

"Using the factor theorem, she confirmed that (x-2) was a factor because plugging in 2 made the expression equal zero."

Test yourself

Which word fits the gap? "Using the _____, she confirmed that (x-2) was a factor because plugging in 2 made the expression equal zero."

Answer: factor theorem

In your own words, what does "factor theorem" mean?

A rule stating that a polynomial has (x minus a) as a factor if and only if substituting a into the polynomial gives zero.

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