Question

find the zeros of the following polynomial and verify the relationship between the zeroes and their coefficients.
a) 5^2-3​

Answer 1

Answer:

The only Zero or Root of the given polynomial is √3/√5

Answer 2

Answer:

Let f(x)=2

3

x

2

−5x+

3

=2

3

x

2

−2x−3x+

3

=2x(

3

x−1)−

3

(

3

x−1)

to find the zeroes, Let f(x)=0

(

3

x−1) or (2x−

3

)=0

x=

3

1

=

3

3

or x=

2

3

x=

3

3

or x=

2

3

Again ,

Sum of zeroes =

3

3

+

2

3

=

6

5

3

=

2

3

5

=

a

−b

=

(coefficient of x

2

)

(−coefficient of x)

Product of zeroes =

3

3

×

2

3

=

6

3

=

2

1

=

a

c

=

coefficient of x

2

Constant term