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NCERT Solutions for Class 10 Maths Polynomials
1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeros and the coefficients.

Ans. (i)

Therefore, other two zeroes of are −1 and −1.

NCERT Solutions for Class 10 Maths Exercise 2.3

4. On dividing by a polynomial g(x), the quotient and remainder were (x-2) and (-2x+4) respectively. Find g(x).
Ans. Let, q(x) = (x – 2) and r(x) = (–2x+4)
According to Polynomial Division Algorithm, we have
p(x
Therefore, we have g(x) =

NCERT Solutions for Class 10 Maths Exercise 2.3
5. Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and
(i) deg p(x) = deg q(x)

(ii) deg q(x) = deg r(x)

(iii) deg r(x) = 0
Ans. (i) Let , g(x) = 3
So, we can see in this example that deg p(x) = deg q(x) = 2
(ii) Let and
We can see in this example that deg q(x) = deg r(x) = 1
(iii) Let, g(x) = x+3
We can see in this example that deg r(x) = 0
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