Question

find the zeros of the quatradic polynomial 2x2+5x+2 and verify the relationship between zeros and coefficients​

Answer 1

Answer:

-1/2, -2

Step-by-step explanation:

using quadratic formula

-b±√b²-4ac/2a

here

2x²+5x+2

a=2, b=5,. c= 2

then

-5±√(5)²-4(2)(2)/2(2)

-5±√25-16/4

-5±√9/4

-5±3/4

x(+) = -5+3/4

= -2/4

= -1/2

x(-) = -5-3/4

= -8/4

= -2

Verification

alpha +beta = -b/a

-1/2+(-2) = -5/2

-5/2. = -5/2

alpha×beta= c/a

-1/2×(-2). =. 2/2

1. =. 1