Question

find the zeros of the following quadratic polynomialand verify the relationship between the zeros and the coefficients x²-2x-8​

Answer 1

Answer:

p(x)=x^2-2x-8

x^2-2x+4x-8=0

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

x+4=0&x-2=0

x=-4&x=2

relationship

Alpha+beta=-b/a

-4+2=-(-2)/1

-2=-2

l.h.s=r.h.s

Alpha×beta=c/a

-4×2=-8/1

-8=-8

l.h.s=r.h.s