Mathematic Year 11 Ext Term 2 Exam

• 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