CBSE Class 10-Mathematics: Chapter – 2 Polynomials Part 11 (For CBSE, ICSE, IAS, NET, NRA 2022)
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Question 6:
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeros and the coefficients.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Answer:
(i)
Comparing given polynomial with general form ,
We get and
We have,
Equating this equal to 0 will find values of zeroes of this polynomial.
are two zeroes.
Sum of zeroes
Product of zeroes
(ii)
Here,
and
We have,
Equating this equal to will find values of zeroes of this polynomial.
Therefore, two zeroes of this polynomial are
Sum of zeroes
Product of Zeroes
(iii)
Here,
and
We have,
Equating this equal to will find values of zeroes of this polynomial.
Therefore, two zeroes of this polynomial are
Sum of zeroes
Product of Zeroes
(iv)
Here,
and
Equating this equal to will find values of zeroes of this polynomial.
Therefore, two zeroes of this polynomial are
Sum of zeroes
Product of Zeroes
(v)
Here,
and
We have,
Therefore, two zeroes of this polynomial are
Sum of zeroes
Product of Zeroes
(vi)
Here,
and
We have,
Equating this equal to will find values of zeroes of this polynomial.
Therefore, two zeroes of this polynomial are
Sum of zeros
Product of Zeroes