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 ax^{2} + 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 x^{2} + 3x + 2.

**Q2. Find the product of zeroes of quadratic polynomial x ^{2} + 7x + 10. **

**Most Important**

**Ans**. Comparing x^{2} + 7x + 10 with ax^{2} + 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 ax^{2} + 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 x^{2} – 5x + 3.

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

**Ans**. Let the quadratic polynomial be ax^{2} + 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 x^{2} + 3x + 5.

**Q5. Product of roots of the quadratic polynomial 6x ^{2} – 7x – 3 is ____________.**

**Ans**. Comparing 6x^{2} – 7x – 3 with ax^{2} + 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 7x ^{2} – 3x + 1 is __________.**

**Ans**. Comparing 7x^{2} – 3x + 1 with ax^{2} + 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 x ^{2} – 2x – 8. **

**Most Important**

**Ans**. Comparing x^{2} – 2x – 8 with ax^{2} + bx + c, we get a = 1, b = -2, c = -8

As we know, sum of zeroes =

= = 2

Also Read |
Class 10 Math NCERT Solution |

Also Read |
Class 10 Important Questions [Latest] |