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Question

The number of polynomials with zeros as 6 and 4 are:

[1 mark]

A
One
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B
Two
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C
Three
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D
Infinite
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Solution

The correct option is D Infinite
Required polynomial =
k(x2(Sum of roots)x + Product of roots) where k is a real number.

Required polynomial = k(x2(6+4)x+64)

Since k can take an infinite number of values, the correct answer is option (d).

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