Quiz about Polynomials

Question 1

Find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively : 
$$\frac{1}{4},-1$$

Accepted Answer

Covalent bond

Answer

$$4 x^{2}-x-4$$

Answer

$$4 x^{2}+x-4$$

Answer

$$4 x^{2}-x+4$$

Answer

$$4 x^{2}+x+4$$

Question 2

Find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively : 
$$\sqrt{2}, \frac{1}{3}$$

Accepted Answer

Covalent bond

Answer

$$3 x^{2}+3 \sqrt{2} x+1$$

Answer

$$3 x^{2}+3 \sqrt{2} x-1$$

Answer

$$3 x^{2}-3 \sqrt{2} x+1$$

Answer

$$3 x^{2}-3 \sqrt{2} x-1$$

Question 3

Find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively : 
$$0,5$$

Accepted Answer

Covalent bond

Answer

$${x}^{2}-\sqrt{5}$$

Answer

$${x}^{2}+\sqrt{5}$$

Answer

$${x}^{2}-2\sqrt{5}$$

Answer

$${x}^{2}+2\sqrt{5}$$

Question 4

Find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively : $$1,1$$

Accepted Answer

Covalent bond

Answer

$$x^{2}-x+1$$

Answer

$$x^{2}+x-1$$

Answer

$$x^{2}-x-1$$

Answer

$$x^{2}+x+1$$

Question 5

Find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively : $$$$
$$-\frac{1}{4}, \frac{1}{4}$$

Accepted Answer

Covalent bond

Answer

$$4 {x}^{2}+{x}-1$$

Answer

$$4 {x}^{2}-{x}-1$$

Answer

$$4 {x}^{2}-{x}+1$$

Answer

$$4 {x}^{2}+{x}+1$$

Ncert Textbook Polynomials Gseb Class 10 Maths Problems and Solutions