Question

Question 1:
The graphs of y = p() are given in following figure, for some polynomials p(x). Find the
number of zeroes of p(x), in each case.
(i)​

Answer 1

i. 0

ii. 1

iii. 3

iv. 2

v. 4

vi. 3

Answer 2

Answer:

(i) The number of zeroes is 0 as the graph does not cut the x-axis at any point.

(ii) The number of zeroes is 1 as the graph intersects the x-axis at only 1 point.

(iii) The number of zeroes is 3 as the graph intersects the x-axis at 3 points.

(iv) The number of zeroes is 2 as the graph intersects the x-axis at 2 points.

(v) The number of zeroes is 4 as the graph intersects the x-axis at 4 points.

(vi) The number of zeroes is 3 as the graph intersects the x-axis at 3 points.