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 (I) (ii) (iii) (iv) (v) (vi)

Question

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 (I) (ii) (iii) (iv) (v) (vi)

cdquestions Admin · Accepted 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

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
(I)
(ii)
(iii)
(iv)
(v)
(vi)

Solution and Explanation

Top Questions on Geometrical Meaning of the Zeroes of a Polynomial

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Concepts Used:

Graphical Solution of Linear Inequalities In Two Variables

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(I)(ii)(iii)(iv)(v)(vi)