2. Euclidean Algorithm

Bézout’s Identity — Quiz

Test your understanding of bézout’s identity with 5 practice questions.

Practice Questions

Question 1

What does Bézout's identity say about two integers $a$ and $b$ not both zero?

Question 2

Which equation shows $6$ as a Bézout combination of $12$ and $18$?

Question 3

If two integers are coprime, what does Bézout's identity guarantee?

Question 4

Which equation is a valid Bézout identity for $15$ and $25$?

Question 5

What is the correct conclusion about the equation $8x+12y=1$ when $x$ and $y$ must be integers?