CBSE X Polynomials practice questions

Question 1

Which monic quadratic has zero sum −3 and zero product 5?

Accepted Answer

x²+3x+5

Answer

x²−3x+5

Answer

x²+3x−5

Answer

x²−5x−3

Question 2

Given that ±√2 are zeroes of 2x⁴−3x³−3x²+6x−2, find the other zeroes.

Accepted Answer

1 and 1/2

Answer

−1 and −1/2

Answer

1 and −1/2

Answer

2 and 1

Question 3

Find the zeroes of x²+10x+7.

Accepted Answer

−5+3√2 and −5−3√2

Answer

5+3√2 and 5−3√2

Answer

−5+√2 and −5−√2

Answer

−10+3√2 and −10−3√2

Question 4

How many distinct polynomials can have zeroes −2 and 5?

Accepted Answer

More than 3

Answer

1

Answer

2

Answer

3

Question 5

Using the monic-quadratic construction x²−Sx+P with S=0 and P=1, which polynomial is obtained?

Accepted Answer

x²+1

Answer

x²−1

Answer

x²+x+1

Answer

x²

Question 6

One zero of (k−1)x²+kx+1 is −3. Find k.

Accepted Answer

4/3

Answer

3/4

Answer

−4/3

Answer

2/3

Question 7

For 5t²+12t+7, find the zeroes and their sum and product.

Accepted Answer

Zeroes −1,−7/5; sum −12/5; product 7/5

Answer

Zeroes 1,7/5; sum 12/5; product 7/5

Answer

Zeroes −1,−5/7; sum −12/7; product 5/7

Answer

Zeroes 1,−7/5; sum −2/5; product −7/5

Question 8

The sum of all three zeroes of 2x³−3 kx²+4x−5 is 6. Find k.

Accepted Answer

4

Answer

2

Answer

6

Answer

−4