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p (x) = x^2 + 7x + 7
The given zeroes are p and q of polynomial p (x)
Sum of zeroes = -7/2
p + q = -7
Product of zeros = 7
pq = 7
Let the polynomial be f (x) whose zeroes are 2p and 2q.
f(x) = x ^2 - (sum of zeroes) x + product of zeroes
f (x) = x^2 - 2(p +q)x + 2p. 2q
f (x) = x^2 -2 (-7)x + 4pq
f (x) = x^2 + 14x + 28
Hence the required polynomial is x^2 +14x +28
The given zeroes are p and q of polynomial p (x)
Sum of zeroes = -7/2
p + q = -7
Product of zeros = 7
pq = 7
Let the polynomial be f (x) whose zeroes are 2p and 2q.
f(x) = x ^2 - (sum of zeroes) x + product of zeroes
f (x) = x^2 - 2(p +q)x + 2p. 2q
f (x) = x^2 -2 (-7)x + 4pq
f (x) = x^2 + 14x + 28
Hence the required polynomial is x^2 +14x +28
gauriporwal:
just edit ur answer
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