Question

find the zeros of given quadratic polynomial and verify the relatoinship between the zeros and cofficent x​

Answer 1

Answer:

question is incomplete plz complete the question dear friend

Answer 2

Answer:

Answer

Let f(x)=3x

2

−x−4

To calculate the zeros of the given equation, put f(x)=0.

3x

2

−x−4=0

3x

2

−4x+3x−4=0

x(3x−4)+1(3x−4)=0

(x+1)(3x−4)=0

x=−1,x=

3

4

The zeros of the given equation is −1 and

3

4

.

Sum of the zeros is −1+

3

4

=

3

1

.

Product of the zeros is −1×

3

4

=−

3

4

.

According to the given equation,

The sum of the zeros is,

a

−b

=

3

−(−1)

=

3

1

The product of the zeros is,

a

c

=

3

−4

Hence, it is verified that,

sumofzeros=

coefficientofx

2

−coefficientofx

And,

productofzeros=

coefficientofx

2

constantterm