Exercises for Question Type 2: Solving polynomial inequalities analytically - IB | RevisionDojo

IB
Question Type 2: Solving polynomial inequalities analytically

Question Type 2: Solving polynomial inequalities analytically Exercises

Question 1

Solve the inequality $x^4 - 5x^2 + 4 \ge 0$ .

[5]

Question 2

Solve the inequality $2x^3 - 3x^2 - 8x + 12 > 0$ .

[7]

Question 3

Solve the inequality $x^3 + x^2 - 4x - 4 \le 0$ .

[6]

Question 4

Solve the inequality $x^2 - 5x + 6 < 0$ .

[4]

Question 5

Solve the inequality $x^3 - 3x + 2 < 0$ .

[4]

Question 6

Solve the inequality $3x^3 + 3x^2 - x - 1 \le 0$ .

[5]

Question 7

Solve the inequality $x^4 - x^3 - 7x^2 + x + 6 \ge 0$ .

[8]

Question 8

Solve the inequality $-x^3 + 4x^2 - 5x + 2 < 0$ .

[5]

Question 9

Solve the inequality $x^3 - 6x^2 + 9x - 4 > 0$ .

[6]

Question 10

Solve the inequality $x^3 - x^2 - x + 1 \ge 0$ .

[4]