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A polynomial has zeroes that are the reciprocals of the zeroes of $x^{2} - 5 x + 6$ .
What is the product of the new zeroes?

Class 10Zeroes of a PolynomialAlgebra — Polynomials

A $\frac{1}{6}$
B6
C $\frac{5}{6}$
D $\frac{1}{5}$

Step-by-Step Solution

Zeroes of

x^{2} - 5 x + 6

are 2 and 3. Reciprocals are

\frac{1}{2}

and

\frac{1}{3}

. Product =

(\frac{1}{2}) (\frac{1}{3}) = \frac{1}{6}

.

Answer: A)

\frac{1}{6}

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