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

1.	The graphs of y = p(x) are given in the figures below, where p(x) is a polynomial Find the number of zeroes in each case.
Answer» (i) Here, the graph of y = p(x) intersect the x – axis at zero points. So, the number of zeroes is 0. (ii) Here, the graph of y = p(x) intersects the x – axis at two points. So, the number of zeroes is 2. (iii) Here, the graph of y = p(x) intersects the x – axis at four points. So, the number of zeroes is 4. (iv) Here, the graph of y = p(x) does not intersects the x – axis. So, the number of zeroes is 0. (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 two points. So, the number of zeroes is 2.

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

Answer»

(i) Here, the graph of y = p(x) intersect the x – axis at zero points. So, the number of zeroes is 0.

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

(iii) Here, the graph of y = p(x) intersects the x – axis at four points. So, the number of zeroes is 4.

(iv) Here, the graph of y = p(x) does not intersects the x – axis. So, the number of zeroes is 0.

(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 two points. So, the number of zeroes is 2.