If alpha and beta are the zeroes of x²-x-2 ,form a quadratic polynomial whose zeroes are. 2 alpha +1, 2beta +1
Answers
Answered by
91
Answer:
The required polynomial is
Step-by-step explanation:
Concept:
If \alpha and \beta are roots of then
Then,
sum of the roots
product of the roots
The required polynomial is
Answered by
22
Answer:
Step-by-step explanation:
if alpha and beta are zeros then
alpha +beta=1
alpha*beta=-2
sum of zeros=(2 alpha+1)+(2 beta+1)
2 alpha+2 beta+2
2(alpha+beta+1)
2(1+1)
2*2=4
product of zeros=(2 alpha+1)*(2 beta+1)
4 alpha*beta+2(alpha +beta)+1
4(-2)+2(1)+1
-8+3
-5
x^2-(sum of zeros)x+product of zeros
x^2-4x-5
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