Quadratic Equations – 1.02d

Algebra and Functions II – OCR (H230)

In this course, Dr Niki Kalaydzhieva (UCL) explores quadratic functions, covering Topic 1.02d in the OCR AS Mathematics A (H230) Specification. In the first mini-lecture, we recall quadratic equations and how to solve them by factorising (Topic 1.02d). In the second mini-lecture, we solve quadratic equation by completing the square (Topic 1.02d). In the third mini-lecture, we introduce the discriminant and learn how it allows us to determine the number of roots the quadratic equation has (Topic 1.02d). In the fourth mini-lecture, we explore function notation and work with quadratic functions (Topic 1.02d). In the fifth mini-lecture, we work with quadratic graphs (Topic 1.02d).

Quadratic Equations – 1.02d

In this mini-lecture, we discuss Topic 1.02d by recalling quadratic equations and how to solve them. In particular, we consider: (i) the difference between expressions and equations; (ii) the general form of quadratic equations: ax + bx + c = 0; (iii) how to solve quadratic equations by factorising to determine solutions (also known as ‘roots’); (iv) how to complete the square of quadratic expressions; and (v) how to complete the square on the general form of the quadratic equation.