Question

if one of the quadratic polynomial x^2+x-2 is -2 find the other zero​

Answer 1

Answer:

x^2+x-2 = -2

compare it with ax²+bx+c =0  

a= 1, b= -p , c= -p-c  

α and β are two zeroes  

i) sum of the zeros= -b/a  

α+β = - (-p)/1= p -----(1)  

ii) product of the zeroes = c/a  

αβ = (-p-c) /1 = -p-c -----(2)  

now take  

lhs = (α+1)(β+1)  

= α(β+1) +1(β+1)  

=αβ +α +β +1  

=-p-c+p+1  [from (2) and (1) ]  

= -c+1  

=1 -c  

=RHS

Hope Correct because i am very bad in Maths.