Question

2. Find the zeroes of quadratic polynomial 5x2 - 4 - 8x and
verify the relationship between the zeroes and the
coefficients of the polynomial.
​

Answer 1

Answer:

x=2 or -2/5

Step-by-step explanation:

Given polynomial is 5x2−8x−4

Here, a=5,b=−8 and c=−4

5x2−8x−4

=5x2 −10x+2x−4

=5x(x−2)+2(x−2)

=(x−2)(5x+2)

So, the value of 5x2 −8x−4 is zero

when x=2 or x= _2/5

Threrfore , the zeroes of 5x −8x−4 are 2 and -2/5

.

Now, sum of zeroes =2+( -2/5 )= 8/5=-b/a

product of zeroes =2×( -2/5 )= -4/5=c/a

Hence verified.