the number of polynomial having zeros as 3and
-5 is
Answers
Answer:
Infinite
Step-by-step explanation:
Polynomial having zeros 3 and - 5 is given by
Here you can take any integer value for a
Ex:
Given : polynomial having zeros as 3 and -5
To Find : number of polynomial
Solution:
Polynomial having zeros a and b can be represented by
k (x - a)(x - b)
where k is non zero
Hence polynomial having zeros as 3 and -5
k (x - 3)(x - (-5))
=k (x - 3)(x + 5)
= k ( x² + 2x - 15)
Hence based on value of k we can get infinite polynomial having zeroes as 3 and -5
Example
x² + 2x - 15
2x² + 4x - 30
3x² + 6x - 40 and so on
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