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in Polynomials by (41.6k points)
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If p and q are the zeroes of the polynomial 3x2 – 5x + 2, write the polynomial in ‘x’ whose zeroes are 1/p and 1/q .

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It is given that, p and q are zeroes of polynomial 3x2 – 5x + 2. 

Sum of zeroes = p + q = \(\frac{-(-5)}{3}=\frac{5}{3}\) ………….(1) 

Product of zeroes = pq = \(\frac{2}{3}\)……………(2) 

Now we have to find the polynomial zeroes of which are \(\frac{1}{p}\) and \(\frac{1}{q}\)

Hence required polynomial is 2x2 – 5x + 3.

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