CCEA A-Level Further Mathematics AS 1 Pure Mathematics overview quiz quiz

The imaginary unit i satisfies which relationship?

To divide one complex number by another, you first multiply numerator and denominator by:

If a polynomial has real coefficients and 3 minus 2i is a root, another root must be:

The determinant of the matrix with rows (a, b) and (c, d) is:

A 2 by 2 matrix has no inverse when its determinant is:

When combining two transformations, B then A, the single matrix is:

For the quadratic a x squared plus b x plus c equals 0 with roots alpha and beta, the product alpha beta equals:

The identity for the sum of squares of two roots is alpha squared plus beta squared equals:

The standard result for the sum of r from 1 to n is:

The method of differences sums a series whose general term can be written as:

In a proof by induction, the inductive step assumes the result for n equals k and then proves it for:

Which part of an induction proof is checked first?

A rational function has a vertical asymptote wherever:

If the numerator of a rational function has degree exactly one more than the denominator, the curve has:

The stationary points of a rational function are found by setting which expression to zero?