It is given that z = 3i(7-i)(i+1). Show that z can be written in the form 24i - k. State the integer k.

z = 3i(7-i)(i+1)= 3i(7i-i+7-i2 )= 3i(6i+8)= 18i2 +24 (1 method mark)= 24i-18 (1 method mark)k=18 (1 answer mark)

DT
Answered by Daniel T. Further Mathematics tutor

2391 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

The function f is defined for x > 0 by f (x) = x^1n x. Obtain an expression for f ′ (x).


Find the general solution for the determinant of a 3x3 martix. When does the inverse of this matrix not exist?


Find the cube roots of unity.


Using graphs, show how the Taylor expansion can be used to approximate a trigonometric function.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning