Question

find the zeros of the following quadratic polynomial and verify the relationship 2x*2+14x+20

Answer 1

Step-by-step explanation:

you know your equation

2x²+14x+20

2x²+( 10 +4) x +20

2x²+ 10x +4x+20

2x ( x+5) +4( x+5)

( x+5) ( 2x+4)=0

x+5=0 ,2x+4=0

x= -5, 2x= -4 = -2

alpha = -5, beta = -2

relationship between zero of quadratic equations

we compare equation ax²+bx+c =0

a= 2 , b = 14 , c=20

verify,

sum of zero

alpha +beta = - b/ a

- 5 + ( -2) = - 14 /2

-7 = -7

product of zero

alpha ×beta = c/a

-5×-2 = 20 /2

10 = 10

we can easily verify relationship.... it is your time solve this problem with yourself.... ok... may be help you