Question

find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficient 5xsquare-4-8x​

Answer 1

Step-by-step explanation:

Given polynomial is 5x

2

−8x−4

Here, a=5,b=−8 and c=−4

5x

2

−8x−4=5x

2

−10x+2x−4

=5x(x−2)+2(x−2)

=(x−2)(5x+2)

So, the value of 5x

2

−8x−4 is zero when x=2 or x=

5

−2

Threrfore , the zeroes of 5x

2

−8−4 are 2 and

5

−2

.

Now, sum of zeroes =2+(

5

−2

)=

5

8

=

a

−b

product of zeroes =2×(

5

−2

)=

5

−4

=

a

c

Hence verified.