The graph of a polynomial p(x) cuts the x axis at two places and touches it at three places. fIND THE NUMBEROF ZEROES OF P(X)
Answers
Step-by-step explanation:
Given:The graph of a polynomial p(x) cuts the x axis at two places and touches it at three places.
To find:Find the number of zeroes P(X)
Solution:
The number of intersection and number of touches on x-axis gives number of zeros of the polynomial.
The graph of a polynomial p(x) cuts the x axis at two places and touches it at three places.
Number of touches of x-axis 3 places= 3 zeros
Number of intersection of x-axis 2 places= 2 zeros
Thus ,
zeros= 3+2 =5 zeroes
P(x) has 5 zeros.
The relevant curve is attached.
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