Question

find the zero of quadratic polynomial
$2 {x}^{2} - 3 + 5x$
and verify the relationship between zero and coefficient
(please answer asap I'll follow you)​

Answer 1

Answer:

1/2 and -3

Step-by-step explanation:

2x²+5x-3

let us consider this to be in generalized form of ax²+bx+c

Now simplifying,

2x²+6x-x-3

2x(x+3)-1(x+3)

(2x-1)(x+3)

roots are 1/2 and -3

sum of roots = 1/2+(-3) =1/2-3 =-5/2

we also know that sum of roots = -b/a = -5/2

product of roots = (1/2)(-3) =-3/2

we also know product of roots = c/a = -3/2 (verified)