Question

4usqare -8ufind the zeroes of the following quadratic polynomials and verify the relationship between between the zeroes and the coefficients​

Answer 1

Answer:

Let f(u)=4u  

2

+8u

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

4u  

2

+8u=0

4u(u+2)=0

u=0,u=−2

The zeros of the given equation is 0 and −2.

Sum of the zeros is 0+(−2)=−2.

Product of the zeros is 0×−2=0.

According to the given equation,

The sum of the zeros is,

a

−b

​  

=  

4

−(8)

​  

 

=−2

The product of the zeros is,

a

c

​  

=  

4

0

​  

 

=0

Hence, it is verified that,

sumofzeros=  

coefficientofx  

2

 

−coefficientofx

​  

 

And,

productofzeros=  

coefficientofx  

2

 

constantterm

​  

 

Step-by-step explanation: