CBSE Class 10-Mathematics: Chapter – 2 Polynomials Part 11 (For CBSE, ICSE, IAS, NET, NRA 2023)

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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