If 𝜶 and 𝜷 are the zeroes of the polynomial $6 y^{2} - 7 y + 2$ , find a quadratic polynomial whose zeroes are $\frac{1}{α}$ , $\frac{1}{β}$ .

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Solution

Let us find the coefficients.
a = 6,
b = -7
c = -2

Step 1:
Find the sum and product of zeroes of the given polynomial

where 𝜶 and 𝜷 are the zeroes of the given polynomial.

Step 2:
Find the sum and product of zeroes of the required polynomial

Step 3: Find the required polynomial

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