Sumi is constructing the inscribed circle for △def . she has already used her compass and straightedge to complete the part of the construction shown in the figure.

what could be her next step?

use the straightedge to draw the line through points e and p.

place the point of the compass on point p and draw an arc that intersects ef and df .

use the straightedge to draw dp−→− .

place the point of the compass on point p and draw an arc through points g and h.

The next step in the construction is:

Use the straightedge to draw DP−→

Step-by-step explanation:

The steps for the construction of inscribed circle is:

Clearly from the figure we could see that Sumi is trying to construct the angle bisector of ∠D as she has drawn the arcs GH by placing the point of compass at point D.

So now she need to join the Point D to Point P to get the angle bisector of ∠D.

Hence the next step in the construction is:

Use the straightedge to draw DP−→

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option