NCERT10th MathematicsExercise 2.1Topic: 2 Polynomials
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EXERCISE 2.1
Q1. The graphs of y = p(x) are given in Fig. below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
Explanation:
1) The graphs of y = p(x), cuts or touches x-axis, means y = 0. The number of zeroes of y = p(x) means y = p(x) = 0.
2) Put y = 0 in the equation, y = p(x), and get all possible values of x, when the given graph is in the equation form.
3) Here, simply observe how many times the graph cuts or touches the x-axis.
I would have said that the final example has five zeros and that these consist of a single zero and two double zeros.
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