Mathematics
High School (9–10)
General
Algebra › PolynomialsAlgebra › Algebraic Identities and FactorisationChapter 3Contains Standard contentPolynomials
The cost of a taxi, the height of a thrown ball and the area of a garden can all be written with expressions such as x² + 3x + 2. These expressions are called polynomials. In this chapter we learn what they are, how to find the numbers that make them zero, and how to split them into smaller factors. We also learn the identities that make long multiplications short. We use Python to calculate values and to check our factors.
Part of Mathematics · High School (9–10) (chapter 3)
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Polynomials and Their Zeroes
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.
Factorising Polynomials and Identities
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.