This question is taken from polynomials in which we have given a equation 5x²-4-8x and it is already asked in various examinations and we have to find the zeroes of the quadratic polynomials and also asked to verify the relationship between the zeroes and the coefficients

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2A, question no 5

## 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 5x²−8−4 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.