Polynomials Quiz 1

Question 1

Find the zero of $$q(x),\;{	ext{if}}\;q(x) = cx + d$$

Accepted Answer

$$ - \dfrac{d}{c}$$

Answer

$$\dfrac{c}{d}$$

Answer

$$d$$

Answer

$$c$$

Question 2

If the polynomial $$p\left( x \right) = 3x + 5$$ and the polynomial $$q\left( x \right) = 2x - 7$$ then the polynomial $$r\left( x \right) = p\left( x \right) - q\left( x \right)$$ is

Accepted Answer

$$x + 12$$

Answer

$$5x - 2$$

Answer

$$0$$

Answer

None of these

Question 3

Zeroes of the quadratic polynomial $$2{x^2} + 891x + 12547$$ are

Accepted Answer

Both negative

Answer

One positive and one negative

Answer

Both positive

Answer

None of the above

Question 4

Find the quadratic polynomial whose product of roots and sum of zeroes are $$ - 5\;{	ext{and}}\;6$$ respectively

Accepted Answer

$${x^2} - 6x - 5$$

Answer

$${x^2} - 5x + 6$$

Answer

$${x^2} - 5x - 6$$

Answer

$${x^2} - 6x + 5$$

Question 5

Which of the following options are correct with respect to $${x^3} + 2{x^2} - 5x + 18$$ polynomial? $$ \ $$ The sum of the roots is -2. $$ \ $$ The product of the roots is 5. $$ \ $$ The sum of the product of the roots taken two at a time is 18. $$ \ $$ The total number of zeroes is 3.

Accepted Answer

1 and 4

Answer

1 and 2

Answer

2 and 3

Answer

All of the above