Polynomial and rational functions Quiz 1

Question 1

Calculate roots of given equation $${p^3} - 6p^2 + 11p - 6 = 0$$ .

Accepted Answer

$$1,2,3$$

Answer

$$ - 1,2,3$$

Answer

$$ - 2,3,4$$

Answer

$$ - 1,1,2$$

Question 2

Calculate root of given equation $$4{p^2} - 10p + 6 = 0$$ .

Accepted Answer

$$\dfrac{3}{2},1$$

Answer

$$\dfrac{1}{2},2$$

Answer

$$ - \dfrac{2}{3},1$$

Answer

$$2,\dfrac{1}{2}$$

Question 3

Calculate the value of $$m$$ for a given equation $${x^2} + 4x + m$$ for which equation has a unique root.

Accepted Answer

$$4$$

Answer

$$3$$

Answer

$$5$$

Answer

$$2$$

Question 4

Calculate domain of given function $$y = \dfrac{1}{{\sqrt {x - 4} }}$$

Accepted Answer

$$(4,\infty )$$

Answer

$$\left( { - \infty , - 4} \right)\left( {4,\infty } \right)$$

Answer

$$(\infty , - 4)$$

Answer

$$( - 4,0,4)$$

Question 5

Calculate the value of $$x$$ in the given equation $$\sqrt {x + 2 - 4\sqrt {x - 2} }  + \sqrt {x + 7 - 6\sqrt {x - 2} }  = 1$$

Accepted Answer

$$\left[ {6,11} \right]$$

Answer

$$\left( {6,11} \right)$$

Answer

$$\left( {1,0} \right)$$

Answer

$$\left( {1,\infty } \right)$$