Chapter : Polynomial
Examples of a Zeros of a Polynomial by graphs
Example: Which of the following correspond to the graph to a linear or a quadratic polynomial and find the number of zeroes of polynomial.
(i) 
Solution: The graph is a straight line so the graph is of a linear polynomial. The number of zeroes is one as the graph intersects the x-axis at one point only.
(ii)
Solution: The graph is a parabola. So, this is the graph of quadratic polynomial. The number of zeroes is zero as the graph does not intersect the x-axis.
(iii) 
Solution: Here the polynomial is quadratic as the graph is a parabola. The number of zeroes is one as the graph intersects the x-axis at one point only (two coincident points).
(iv) 
Solution: Here, the polynomial is quadratic as the graph is a parabola. The number of zeroes is two as the graph intersects the x-axis at two points.
(v) 
Solution: The polynomial is linear as the graph is straight line. The number of zeroes is zero as the graph does not intersect the x-axis.
(vi) 
Solution: The polynomial is quadratic as the graph is a parabola. The number of zeroes is 1 as the graph intersects the x-axis at one point (two coincident points) only.
(vii) 
Solution: The polynomial is quadratic as the graph is a parabola. The number of zeroes is zero, as the graph does not intersect the x-axis.
(viii) 
Solution: Polynomial is neither linear nor quadratic as the graph is neither a straight line nor a parabola is one as the graph intersects the x-axis at one point only.
(ix) 
Solution: Here, the polynomial is quadratic as the graph is a parabola. The number of zeroes is one as the graph intersects the x-axis at one point only (two coincident points).
(x) 
Solution: The polynomial is linear as the graph is a straight line. The number of zeroes is one as the graph intersects the x-axis at only one point.
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