Question

find the zero of the polyronals, 5x^2+8x-4
verify the relationship between the zeroes and the
Confficient of the polinomial​

Answer 1

SOLUTION:-

Given

p(x)= 5x²+8x-4

To find

Zeros and relationships between zeros and coefficients

Explanation

p(x)= 5x²+8x-4

= 5x²+(10-2)x-4

= 5x²+10x-2x-4

= 5x(x+2)-2(x+2)

= (x+2)(5x-2)

= x=-2, x= 2/5

Sum of zeros = -b/a

$- 2 + \frac{2}{5} = \frac{ - 8}{5} \\ \\ = \frac{ - 10 + 2}{5} = \frac{ - 8}{5} \\ \\ = \frac{ - 8}{5} = \frac{ - 8}{5}$

Product of zeros = c/a

$- 2 \times \frac{2}{5} = \frac{ - 4}{5} \\ \\ = \frac{ - 4}{5} = \frac{ - 4}{5}$

Hence verified!!!