What are all the real and complex zeros of the polynomial function shown in the graph?

Step-by-step explanation:

We are given the graph of the function:

And we want to determine its real and complex roots.

First, notice that it crosses through the x-axis at 3. This means that (x-3) is a factor.

Hence, let's use synthetic division to factor. This yields:

3 |     1         -1        -4         -6            

  |_______(3)___(6)___(6)_________________

        1         2        2          0

Therefore,this yields:

The right-most term is not factorable. Thus, we will need to use the quadratic formula.

Zero Product Property:

We will use the quadratic formula on the right. Our a=1, b=2, and c=2. Therefore:

Evaluate:

Simplify:

Hence, our solutions are:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

at least two

step-by-step explanation: