NCERT Solutions for Class 10 Maths Exercise 2.2 Chapter 2 Polynomials – FREE PDF Download
NCERT Class 10 Maths Ch 2 is one of the most important ones in the NCERT syllabus. Duly following NCERT Solutions for Class 10 Maths Chapter 2 ensures you that there will be no hindrance when you opt for more advanced branches of Maths. This is where CoolGyan comes in. Our free Class 10 Polynomials solutions will help you understand the chapter thoroughly.
NCERT Solutions for Class 10 Maths Chapter 2 – Polynomials
1. Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case:
(i) 
(ii) 
, we get 
and 
= 
= 1+1−10+84=041+1−10+84=04 = 0
= 
= 0
= 
= 
= 0
and 
are the zeroes of 
Now, 
= 
And 
= 
= 
= 
And 
= 
(ii) Comparing the given polynomial with , we get
and 
p(2)=(2)3−4(2)2+5(2)−2p(2)=(2)3−4(2)2+5(2)−2
= 
= 0
= 
= 0
and 
are the zeroes of 
Now,
= 
And = 
= 
= 
And = 
2. Find a cubic polynomial with the sum of the product of its zeroes taken two at a time and the product of its zeroes are 
respectively.
and its zeroes be 
and 
Then = 2 = 
and = 
And = 
Here, 
and 
Hence, cubic polynomial will be 
3. If the zeroes of the polynomial 
are 
find 
and 
are the zeroes of the polynomial . = a+b+a+a+b=−(−3)1=3a+b+a+a+b=−(−3)1=3
And
= 
b2=2b2=2
b=±2–√b=±2
Hence and b=±2–√b=±2.
4. If the two zeroes of the polynomial 
are 
find other zeroes.
are two zeroes of the polynomial 
Let 
Squaring both sides, 
Now we divide 
by 
to obtain other zeroes.
= 
= 
= 
= 
and 
are the other factors of 
and 7 are other zeroes of the given polynomial.
5. If the polynomial 
is divided by another polynomial 
the remainder comes out to be 
find 
and 
by 
. 
Remainder = 
On comparing this remainder with given remainder, i.e.
And 
