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Question

A polynomial of the form ax5+bx3+cx2+dx+e has almost ________ zeroes.

A
3
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B
5
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C
7
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D
11
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Solution

The correct option is B 5
A polynomial of degree n can have a maximum of n zeroes because it can be expresssed as a product of atmost n linear factors in x.
For example,xn+a1xn1+...+an can be expressed as (xx1)(xx2)....(xxn).
Here the polynomial ois of degree 5.
Therefore, It can have a maximum of 5 zeroes.

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