# NCERT Class 10 Math Chapter 2 Important Questions Answer – Polynomials

 Class 10 Chapter Polynomials Subject Math Category Important Question Answer

## Class 10 Math Chapter 2 Important Question Answer

Q1. Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively. Most Important

Ans. Let the quadratic polynomial be ax2 + bx + c, and its zeroes be 𝛂 and β.

We have

𝛂 + β = -3 =  ,

𝛂 β = 2 =

If a = 1, then b = 3 and c = 2.

So, one quadratic polynomial which fits the given conditions is x2 + 3x + 2.

Q2. Find the product of zeroes of quadratic polynomial x2 + 7x + 10. Most Important

Ans. Comparing x2 + 7x + 10 with ax2 + bx + c, we get a = 1, b = 7, c = 10,

As we know, Product of roots =

= = 10

Q3. Find a quadratic polynomial with the given number as the sum and product of its zeroes respectively are 5 and 3. Most Important

Ans. Let the quadratic polynomial be ax2 + bx + c, and its zeroes be 𝛂 and β.

We have

𝛂 + β = 5 =   ,

𝛂 β = 3 =

If a = 1, then b = -5  and c = 3.

So, one quadratic polynomial which fits the given conditions is x2 – 5x + 3.

Q4. Find a quadratic polynomial whose zeros are -3 and 5. Most Important

Ans. Let the quadratic polynomial be ax2 + bx + c, and its zeroes be 𝛂 and β.

We have

𝛂 + β = -3 =  ,

𝛂 β = 5 =

If a = 1, then b = 3 and c = 5.

So, one quadratic polynomial which fits the given conditions is x2 + 3x + 5.

Q5. Product of roots of the quadratic polynomial 6x2 – 7x – 3 is ____________.

Ans. Comparing 6x2 – 7x – 3 with ax2 + bx + c, we get a = 6, b = -7, c = -3,

As we know, Product of roots =

= =

Q6. Sum of the roots of the quadratic polynomnial 7x2 – 3x + 1 is __________.

Ans. Comparing 7x2 – 3x + 1 with ax2 + bx + c, we get a = 7, b = -3, c = 1,

As we know , Sum of roots =

= = 3

Q7. Find the sum of zeroes of quadratic polynomial x2 – 2x – 8. Most Important

Ans.  Comparing x2 – 2x – 8 with ax2 + bx + c, we get a = 1, b = -2, c = -8

As we know, sum of zeroes =

= = 2

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