- Inverse functions
- Roots of an equation
- Long division
Questions.
Question 1. [1 mark]

Question 2. [3 mark]
Divide the equation 2x3 – 5 x2 – 8x + 15 by (x-3) using long division
Question 3.

Question 4.
The polynomial 4x3 + 8x2 – 14 x +8 has three roots α, β and γ
a) Find αβγ(α+β+γ) [1 marks]
b) Find α2 + β2 + γ2 [3 marks]
Question 5.
What is the remainder when x3 – 3x2 + 3 is divided by x – 4
Question 6.
Find the polynomial Q(x) that satisfies x3 + 2x2-3x -8 = (x-2)Q(x) +2
Question 7.
Find the inverse function, y = (x2 – 4) / y
Question 8.

Answers.
Question 1. C
Question 2.
Therefore, 2x2 + x -5 is the answer
Question 3.
Question 4.
a) 4
b)
Question 5.
Question 6.
Question 7.
Question 8.
A –> (-3)^3 -6*-3 = -9 Is the remainder