Specialist2025 Exam 2 Section A · Q5CAS active1 mark

Cubic with a given complex root

The equation $z^3 + az^2 + bz - 52 = 0$ , where $a, b \in R$ and $z \in C$ , has a solution $z = 2 - 3i$ .

The value of $ab$ is

1 mark

-232

-64

-8

0

Hints, answer checking and worked solutions come with a Season Pass.

Specialist2025 Exam 2 Section A · Q5CAS active1 mark

The equation $z^3 + az^2 + bz - 52 = 0$ , where $a, b \in R$ and $z \in C$ , has a solution $z = 2 - 3i$ .

The value of $ab$ is

1 mark

-232

-64

-8

0

Hints, answer checking and worked solutions come with a Season Pass.