find a quadratic polynomial, the sum and product of whose zeroes are 0 and -√2
Answers
Answered by
10
α+β=-b/a=0
α×β= c/a = -√2
quadratic polynomial =
x²-bx+ c=0
hence the required polynomial is
x²-√2=0
α×β= c/a = -√2
quadratic polynomial =
x²-bx+ c=0
hence the required polynomial is
x²-√2=0
Answered by
7
Answer:
Step-by-step explanation:
α+β=0
α•β= -√2
P(x)=k[x^2-(α+β)x+α•β]
=x^2-0x-√2
=x^2-√2.
Therefore,x^2-√2 is a required quadratic equation.
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