Question

Hi Friends, I hope u can help me with this...

Find the quadratic polynomial whose sum of zeros is -3 and product of zeros is 3
I am getting the answer as x^2 + 3x +3. But it doesn't seem right. Pls help....

Answer 1

if the zeroes are a and b
then (x-a)(x-b) =0
a+b = -3
ab = 3
solve a and b using substitution
a=-3-b
(-3-b)b = 3
b^2 +3b+3=0
doesnt factor use quadratic formula
b = -3+-sqrt(9-12)/2
b=-3/2 +-sqrt(3)/2 i
plug back in to find a
a=-3-(-3/2 +-sqrt(3)/2 i)
a = -3/2 +-sqrt(3)/2 i

so there is no real solution
both zeroes are complex

Answer 2

i guess your answer would be correct
y=x^2 +3x+3

Answer 3

Thans "Dumbcow" for yr help.... A strange name u hv chosen!!

Answer 4

no prob, yeah i know it kinda an inside joke