- Inverse functions
- Roots of an equation
- Long division

Questions.

Question 1. [1 mark]

Question 2. [3 mark]

Divide the equation 2x^{3} – 5 x^{2} – 8x + 15 by (x-3) using long division

Question 3.

Question 4.

The polynomial 4x^{3} + 8x^{2} – 14 x +8 has three roots α, β and γ

a) Find αβγ(α+β+γ) [1 marks]

b) Find α^{2} + β^{2 }+ γ^{2} [3 marks]

Question 5.

What is the remainder when x^{3} – 3x^{2} + 3 is divided by x – 4

Question 6.

Find the polynomial Q(x) that satisfies x^{3} + 2x^{2}-3x -8 = (x-2)Q(x) +2

Question 7.

Find the inverse function, y = (x^{2} – 4) / y

Question 8.

Answers.

Question 1. C

Question 2.

Therefore, 2x^{2} + 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