Question

if alpha, beta are zeros if x²+5x+1 then find a quadratic polynomial whose zeros are alpha+2, beta+2​

Answer 1

Step-by-step explanation:

here different explain

we know that,

we know that,

sum of zeroes= -b/a

a+b=5

________________________(1)

also,

product of zeroes= c/a

ab=k

_______________________(2)

Given:

a-b=1

______________________(3)

from (1) and (3)

a+b=5

a-b=1 (an adding)#

......

2a=6

a=3

put this in (3)

3-b=1

-b=-2

b=2

now put this value in (3)

ab=k

2x3=k

6=k