The graphs of y – p(x) are given in the figures below, where p(x) is

1.	The graphs of y – p(x) are given in the figures below, where p(x) is a polynomial. Find the number of zeros in each case.
Answer» (i) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2. (ii) Here, the graph of y = p(x) intersects the x – axis at three points. So, the number of zeroes is 3. (iii) Here, the graph of y = p(x) intersects the x – axis at one point only. So, the number of zeroes is 1. (iv) Here, the graph of y = p(x) intersects the x – axis at exactly one point. So, the number of zeroes is 1. (v) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2. (vi) Here, the graph of y = p(x) intersects the x – axis at exactly one point. So, the number of zeroes is 1.

The graphs of y – p(x) are given in the figures below, where p(x) is a polynomial. Find the number of zeros in each case.

Answer»

(i) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2.

(ii) Here, the graph of y = p(x) intersects the x – axis at three points. So, the number of zeroes is 3.

(iii) Here, the graph of y = p(x) intersects the x – axis at one point only. So, the number of zeroes is 1.

(iv) Here, the graph of y = p(x) intersects the x – axis at exactly one point. So, the number of zeroes is 1.

(v) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2.

(vi) Here, the graph of y = p(x) intersects the x – axis at exactly one point. So, the number of zeroes is 1.