what will be the number of zeros of a linear polynomial p(x) if it's graph (i) passes through the origin. (ii) doesn't intersect or touch x-axis at any point?
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0 is no of zeroes of polynomial
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Answer:
Number of zeroes for polynomial
(i) Passes through origin is equal to one.
(ii) Doesn’t intersect or touch x-axis at any given point which is equal to zero.
Solution:
There are many graphs that can be told as passing through origin according the graph given below attached as an example.
Now graph given is an example of y = x, which cuts at one place of the x-axis that is zero, hence only has one root of the equation or polynomial P(x).
Now by the above example we can see that a graph has to cut the x-axis for the polynomial to form zeroes, but if the graph does not cut any value on the x-axis then the number of zeroes or roots is zero.
Step-by-step explanation:
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