Quiz about Polynomial Inequalities

Question 1

Solve the cubic inequality: $$x^3-2x^2+x>0$$

Accepted Answer

$$x\in\ \left(0,1\right)\cup\left(1,+\infty\right)$$

Answer

$$x\in\left(0,1\right)$$

Answer

$$x\in\left(0,+\infty\right)$$

Answer

$$x\in\left(1,+\infty\right)$$

Question 2

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

Accepted Answer

$$\left(-\infty,\ 0.5\right)\cup\left(3,+\infty\right)$$

Answer

$$\left[-\infty,\ 0.5\right]\cup\left[3,\ +\infty\right)$$

Answer

$$\left(-\infty,\ 1\right)\cup\left(0.5,\ 3\right)$$

Answer

$$\left(-1,\ 0.5\right]\cup\left[3,\ +\infty\right]$$

Question 3

Solve the cubic inequality: $$x^3+2x^2+x-1>0$$

Accepted Answer

x > 0

Answer

x > 1

Answer

x = 0

Answer

x < 0

Question 4

Solve the cubic inequality: $$-2x^3+3x^2-4x+3\ge0$$

Accepted Answer

$$x\ge1$$

Answer

$$x>1$$

Answer

$$x<1$$

Answer

$$x\ge1$$

Question 5

Solve the polynomial Inequality

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 6

What are the solutions for the polynomial inequality? $$-2\left(x+5\right)\left(x-2\right)\left(x-3\right)\ge0$$

Accepted Answer

$$\left(-\infty,-5\right]\cup\left[2,3\right]$$

Answer

$$\left(-5,2\right)\cup\left(3,\infty\right)$$

Answer

$$\left[-5,2\right]\cup\left[3,\infty\right)$$

Answer

$$\left(-\infty,\ -5\right)\cup\left(2,3\right)$$

Question 7

Solve the inequality by graphing.

$$2x^3+3x^2-17x-30<0$$

Accepted Answer

$$(-∞,-2.5)\cup(-2,3)$$

Answer

$$(-2.5,-2)\cup(3,∞)$$

Answer

$$(-∞,-2.5]\cup[-2,3]$$

Answer

$$[-2.5,-2]\cup[3,∞)$$

Polynomial Inequalities