Year 11-12 transition pack

A-Level Further Maths

Due Enrolment DayAugust 2020

Name:_______________

You must complete all the main section questions, including the challenge questions

What is the connection between the sums and the products of the roots and the coefficients of the original equation?

Ex 1

Ex 2

Ex 3

Sketching Graphs

Challenge

Complex numbers

If , Then

Then, since

= And Since

Then

Example: Solve x ²+ 4 x + 10 = 0 .Using the quadratic Formula

𝒙 =−𝟒 ± 𝟒𝟐−𝟒𝟎

𝟐=

−𝟒 ± −𝟐𝟒

𝟐=

−𝟐 ± −𝟔

𝟏

= - 2 ± i6

Using the quadratic formula as above, and express the solutions to the quadratic equations below in the form

d + e i

where d and e are real and