Looking for accurate SEBA Class 10 Maths Exercise 2.1 (Polynomials) textual solutions for the 2026–27 academic year? Access complete step-by-step solutions covering the geometrical meaning of zeros, analyzing polynomial graphs $y = p(x)$, and identifying the number of zeros from X-axis graph intersections to score top marks in your HSLC board exams.
Q. The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
Solution:
We can reach the solution easily by understanding the statement of the question.
As the graphs of y = p(x) are given, and we have to find the number of zeroes of p(x), in each case, look at the graphs and visually find how many points the graph cuts or touches the x-axis.
The number of points it cuts or touches the x-axis are the zeroes of the polynomial p(x).
(i) The number of zeroes is 0 as the graph doesn’t cut the x-axis at any point.
(ii) The number of zeroes is 1 as the graph cuts the x-axis at only one point.
(iii) The number of zeroes is 3 as the graph cuts the x-axis at 3 points.
(iv) The number of zeroes is 2 as the graph cuts the x-axis at 2 points.
(v) The number of zeroes is 4 as the graph cuts the x-axis at 4 points.
(vi) The number of zeroes is 3 as the graph cuts the x-axis at 3 points.
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📐 Updated Solutions Notice: This page features complete, step-by-step SEBA Class 10 Mathematics Chapter 2 (Polynomials) Exercise 2.1 Textual Solutions updated for the 2026–27 academic session. All graphical interpretations of $y = p(x)$, parabolic curve evaluations, and zero-count derivations strictly follow the latest revised Assam Board (SEBA/ASSEB) curriculum.
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