Question

What will be the number of zeros of a linear polynomial px if it's graph cuts the x-axis at 5 points and touches it at 3 places.

Answer 1

(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. ... 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).