Q.

Find the product of zeroes of the cubic polynomials {"mathml":"<math class="image_resized" style="width:156px;height:16px"><span style="font-family:.


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a

4

b

1

c

6

d

0 

answer is C.

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Detailed Solution

The product of zeroes of a cubic polynomial {"mathml":"<math class="image_resized" style="width:144px;height:12px"><span style="font-family: is given by {"mathml":"<math class="image_resized" style="width:32px;height:34px"><span style="font-family:.
Compare the coefficients of the polynomial {"mathml":"<math class="image_resized" style="width:156px;height:16px"><span style="font-family:.
a = 1, b = 4, c = 1, d = -6
The product of zeroes =
{"mathml":"<math class="image_resized" style="width:32px;height:34px"><img src="data:image/jpeg;base64,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" 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