Question

Find tje zeroes of the quadratic polynomial f(x)=x²-3x+2 and verify the relationship between the zeros and its coefficient

Answer 1

F(x) = xsquare -3x+2

f(x)= xsquare -2x-x+2

f(x)= x(x-2)-1(x-2)

f(x)= (x-1)(x-2)

for zeroes of f(lx) put f(x)=0

(x-1)(x-2)=0

x=1 or x=2

thus zeroes of the polynomial are 1 and 2

now let a and b are the zeroes of the given polynomial

a=1 and b =2

a+b= 1+2=3= - coefficient of x/coefficient of xsquare

ab=1.2=2= constant term / coefficient of xsquare