Zero Product Principle Quiz 1

Question 1

If $$a=15-6x-12{{x}^{2}}$$ and $$b=24{{x}^{2}}+5x-35$$, then for what possible values of $$x$$ the sum of $$a$$ and $$b$$ is zero?

Accepted Answer

$$\dfrac{4}{3},\dfrac{-5}{4}$$

Answer

$$4,\dfrac{1}{2}$$

Answer

$$\dfrac{1}{4},\dfrac{1}{5}$$

Answer

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

Question 2

Solve for all the values of $$x: 18{{x}^{4}}-9{{x}^{3}}-50{{x}^{2}}+25x=0$$

Accepted Answer

$$0,\dfrac{5}{3},\dfrac{-5}{3},\dfrac{1}{2}$$

Answer

$$0,\dfrac{4}{3},\dfrac{-2}{3},1$$

Answer

$$0,\dfrac{1}{3},\dfrac{1}{3},\dfrac{1}{2}$$

Answer

$$0,\dfrac{1}{3},\dfrac{-1}{3},1$$

Question 3

Find the positive value of $$7tx$$, if $$6{{x}^{2}}-17xt-14{{t}^{2}}=0$$.

Accepted Answer

$$7$$

Answer

$$4$$

Answer

$$\dfrac{1}{7}$$

Answer

$$\dfrac{4}{3}$$

Question 4

John is 3 years younger than Alex and 2 years older than Ciya. If the multiplied value of Ciya’s age with the resultant sum of John’s and Alex’s age is 429, then find the age of John?

Accepted Answer

15 years

Answer

13 years

Answer

17 years

Answer

19 years

Question 5

If the area of the circle $$A$$ is 4 times the area of the circle $$B$$, then find the radius of the circle $$B$$ whose radius is 7 less than the radius of the circle $$A$$?

Accepted Answer

7 units

Answer

3 units

Answer

5 units

Answer

9 units