find a quadratic polynomial the sum and product of whose zeros are -10 and 25 respectively
Answers
Answered by
1
Answer:
α=-10,ß=25
q.p=k[x^2-(α+ß)x+α*ß]
k[x^2-(-10+25)x+(-10)*(25)]
k[x^2-(15)x-250]
k[x^2-15x-250]
if k=1=>
x^2-15x-250
Step-by-step explanation:
hope it helps !
mark me as brainliest !
Answered by
2
Answer:
x² + 10x + 25 = 0
Step-by-step explanation:
If there is a quadratic equation
ax² + bx + c=0
with zero's (roots) α, β
we know,
α + β = -b/a
α*β = c/a
Put the given input here we get,
α + β = -b/a
-10 = -b/a
α*β = c/a
25 = c/a
thus if a = 1, we get b = 10 and c = 25
thus quadratic equation becomes
x² + 10x + 25 = 0
Similar questions