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) = 2x4 – 3x3 – 3x2 +6x – 2, if being given that two of its zeros are 
and –.
Ans. 
6. On dividing x3 – 3x2 + 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) = 2x3 – 7x2 + 3x + 6 if its two zeros are –
and .
Ans. 
8. Obtain all zeros of the polynomial f (x) = 2x4 + x3 – 14x2 – 19x – 6, if two of its zeros are -2 and -1.
Ans. 
9. Obtain all other zeros of 3x4 + 6x3 – 2x2 – 10x – 5. If two of its zeros are 
and 
Ans. 
10. If the polynomial x4 – 6x3 + 16x2 – 25x + 10 is divided by another polynomial x2 – 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 x4 + 10x3 + 25x2 + 15x + k is exactly divisible by (x + 7).
Ans. 
12. If 
and 
are the zeros of the polynomial f (x) = x2 + px + q, find polynomial whose zeros are (+)2 and (–)2.
Ans. 
