Question

for what value m, one zero of the quadratic polynomial x²-6x+ m be double the other

Answer 1

p(x) = x^2-6x+m =0
s and 2s are zeroes of p(x)

sum of zeroes =-b÷a
s+2s= -(-6)÷1
3s=6
s=2


zeroes of p(x) are =s and 2s
2 and 4


product of zeroes =c÷a
s×2s= m÷1
2×4 =m
m=8