## CBSE Class 10 Maths Chapter-2 Polynomials – Free PDF Download

Free PDF download of Important Questions with Answers for CBSE Class 10 Maths Chapter 2 – Polynomials prepared by expert Maths teachers from latest edition of CBSE(NCERT) books only by CoolGyan to score more marks in CBSE board examination.

CBSE Class 10 Maths Chapter-2 Polynomials Important Questions

**CBSE Class 10 Maths Important Questions Chapter 2 – Polynomials**

**3 Mark Questions**

**1. Apply division algorithm to find the quotient q (x) and remainder r (x) an dividing f (x) by g (x), where**

**Ans.**

**2. If two zeros of the polynomial are , find the other zeros.**

**Ans.** Two zeros are

Now,

**3. What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by ?**

**Ans.**

We must be subtract (2x – 3) to become a factor.

**4. What must be added to so that it may be exactly divisible by ?**

**Ans.**

So we must be added

**5. Find all the zeros of the polynomial f (x) = 2x ^{4 }– 3x^{3 }– 3x^{2} +6x – 2, if being given that two of its zeros are and –.**

**Ans.**

**6. On dividing x ^{3 }– 3x^{2 }+ x + 2 by a polynomial g (x) the quotient and the remainder were (x – 2) and -2x + 4 respectively, find g (x).**

**Ans.**

**7. Find all zeros of f(x) = 2x ^{3 }– 7x^{2 }+ 3x + 6 if its two zeros are –and .**

**Ans.**

**8. Obtain all zeros of the polynomial f (x) = 2x ^{4 }+ x^{3 }– 14x^{2 }– 19x – 6, if two of its zeros are -2 and -1.**

**Ans.**

**9. Obtain all other zeros of 3x ^{4 }+ 6x^{3 }– 2x^{2 }– 10x – 5. If two of its zeros are and **

Ans.

**10. If the polynomial x ^{4 }– 6x^{3 }+ 16x^{2 }– 25x + 10 is divided by another polynomial x^{2 }– 2x + k, the remainder comes out to be (x + a), find ‘k’ and ‘a’.**

**Ans.**

**11. Find the value of ‘ k’ for which the polynomial x^{4 }+ 10x^{3 }+ 25x^{2 }+ 15x + k is exactly divisible by (x + 7).**

**Ans.**

**12. If and are the zeros of the polynomial f (x) = x ^{2 }+ px + q, find polynomial whose zeros are (+)^{2} and (–)^{2}.**

**Ans.**