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Question
The number of polynomials having zeroes – 3 and 4 is ______.
Options
1
2
3
more than 3
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Solution
The number of polynomials having zeroes – 3 and 4 is more than 3.
Explanation:
The number of polynomials having zeroes – 3 and 4 are infinite or more than 3.
Required polynomials = (x + 3) (x – 4)
= x2 – x – 12
Now, we can check that any other quadratic polynomial that fits these conditions will be of the form k(x2 – x – 12).
Where k is real.
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