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amandasantiago2001
23.08.2020 •
Mathematics
if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2beta + 1
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Ответ:
Step-by-step explanation:
Hello, as alpha and beta are zeroes of
it means that their sum is alpha+beta=1 and their product alpha*beta=-2.
The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4
and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is
Thank you.
Ответ: