If a,ß are the zeroes of the polynomial f(x)=x power 2+x+1, then (Alfa+1) (beta+1)
is equal to
Answers
Answer:
m
Step-by-step explanation:
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Answer:
hey friend here is your answer
Step-by-step explanation:
f(x) = x² + x + 1
let p,q be roots of f(x)
(Note : replace alpha and beta with p and q respectively)
We want (p+1)(q+1) = ?
we know that p + q = sum of roots = -b/a = -1/1 = -1
pq = products of = c/a = 1/1 = 1
roots
therefore, we have p+q = -1 and pq= 1
(p+1)(q+1) = pq + p + q + 1 = 1 - 1 + 1 = 1
therefore, (p+1)(q+1) = 1
Hence your final answer is 1.
I hope you get your answer
thanks for asking
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