Finding zeros of polynomials Quiz 1

Question 1

If $${{x}^{3}}-x-1=0$$, then $$(x-1)$$ is equal to:

Accepted Answer

$$\dfrac{1}{{{x}^{4}}}$$

Answer

$$\dfrac{1}{x}$$

Answer

$$\dfrac{1}{{{x}^{3}}}$$

Answer

$$\dfrac{1}{{{x}^{2}}}$$

Question 2

If $${{\left( \dfrac{1}{2} \right)}^{5x+1}}=1$$, then find the value of $$x$$.

Accepted Answer

$$-\dfrac{1}{5}$$

Answer

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

Answer

$$\dfrac{1}{5}$$

Answer

$$-\dfrac{2}{5}$$

Question 3

Given that, $$1.5\left( a-10 \right)+2.5\left( b-1.8 \right)=-1$$, then find the maximum value of $$\left( ab \right),$$ if $$a - b$$ are positive integers?

Accepted Answer

-1

Answer

1

Answer

0

Answer

1.5

Question 4

If $$|4x-4|\le 8$$ and $$|5y-5|\le 20$$, then what is the maximum value of $$2x-3y$$?

Accepted Answer

15

Answer

28

Answer

17

Answer

18

Question 5

What is the sum of all real numbers 't' such that $${{3}^{\left( 3t+1 \right)}}-{{82.3}^{\left( 2t \right)}}+3{{}^{\left( t+3 \right)}}=0$$?

Accepted Answer

2

Answer

$$\dfrac{82}{3}$$

Answer

$$\dfrac{2}{11}$$

Answer

3