Teacher-curated, self-paced courses. Looking for a guided sequence through a full topic? See Learning Paths.
Just as 12 is 3 times 4, a polynomial can be a product of smaller polynomials. Here we learn the factor theorem, how to factorise quadratic and cubic polynomials, and the algebraic identities that help us calculate fast.
A polynomial is an expression with powers of x, such as 3x² − 5x + 2. In this course we learn the words for its parts, how to find its value, which numbers make it zero, and what the remainder is when we divide it.
A polynomial puzzle in an olympiad is usually solved in two lines, if you know the trick. In this course you learn how to find a zero by testing a few numbers, and how to use an identity to avoid a long calculation. Then you solve problems and take a timed paper in the style of an olympiad.