**1.** Find the zeroes of the following quadratic polynomials and verify the relationship between the zeros and the coefficients.

(i) (ii) (iii)

(iv) (v) (vi)

**(i) **

Comparing given polynomial with general form , we get

a=1, b=-2 and c=-8

The relation between zeroes of quadratic polynomial and its coefficients is:

sum of zeroes

Product of zeroes

We will verify this relation.

(we can split this polynomial by factorization)

Equating this equal to 0 will give us values of 2 zeroes of this polynomial.

are two zeroes.

Sum of zeroes =4-2=2

Hence, it is confirmed that sum of zeroes

Product of zeroes

Hence, it is confirmed that product of zeroes

**(ii) **

The relation between zeroes of quadratic polynomial and its coefficients is

sum of zeroes

Product of zeroes

We will verify this relation.

Comparing given polynomial with general form , we get

a=4, b=-4 and c=1

{We can split this polynomial by factorization}

Equating this equal to 0 will give us values of 2 zeroes of this polynomial.

Therefore, two zeroes of this polynomial are

Sum of zeroes=

Hence, it is confirmed that sum of zeroes

Product of Zeroes =

Hence, it is confirmed that product of zeroes

**(iii) **

The relation between zeroes of quadratic polynomial and its coefficients is

sum of zeroes

Product of zeroes

We will verify this relation.

Comparing given polynomial with general form , we get

a=6, b=-7 and c=-3

{We can split this polynomial by factorization}

Equating this equal to 0 will give us values of 2 zeroes of this polynomial.

Therefore, two zeroes of this polynomial are

Sum of zeroes=

Hence, it is confirmed that sum of zeroes

Product of Zeroes =

Hence, it is confirmed that product of zeroes

**(iv) **

The relation between zeroes of quadratic polynomial and its coefficients is

sum of zeroes

Product of zeroes

We will verify this relation.

Comparing given polynomial with general form , we get

a=4, b=8 and c=0

{We can split this polynomial by factorization}

Equating this equal to 0 will give us values of 2 zeroes of this polynomial.

Therefore, two zeroes of this polynomial are

Sum of zeroes

Hence, it is confirmed that sum of zeroes

Product of Zeroes

Hence, it is confirmed that product of zeroes

**(v) **

The relation between zeroes of quadratic polynomial and its coefficients is

sum of zeroes

Product of zeroes

We will verify this relation.

Comparing given polynomial with general form , we get

a=1, b=0 and c=-15

Equating this equal to 0 will give us values of 2 zeroes of this polynomial.

Therefore, two zeroes of this polynomial are

Sum of zeroes=

Hence, it is confirmed that sum of zeroes

Product of Zeroes =

Hence, it is confirmed that product of zeroes

**(vi) **

The relation between zeroes of quadratic polynomial and its coefficients is

sum of zeroes

Product of zeroes

We will verify this relation.

Comparing given polynomial with general form , we get

a=3, b=-1 and c=-4

{We can split this polynomial by factorization}

Equating this equal to 0 will give us values of 2 zeroes of this polynomial.

Therefore, two zeroes of this polynomial are

Sum of zeroes=

Hence, it is confirmed that sum of zeroes

Product of Zeroes =

Hence, it is confirmed that product of zeroes