If p and q are the zeroes of the quadratic polynomial f(x) = x^2 + x - 2, then find a polynomial whose zeroes are 2p + 1 and 2q + 1
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Step-by-step explanation:
zeroes of second polynomial => (2p+1)(2q+1)
=>1+2(p+q)+4pq -----(1)
now if you see the first,
f(x) = x²+x-2
here ...
p+q = -1
PQ = -2
substitute these values,
= 1-2-8
= 1-10
= -9..
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