Question

WILL GIVE BRAINILY TO WHOEVER ANSWERS FIRST!!! also questions worth 70 points. :)

Answer 1

The graph above forms an equation that has 4 zeroes. That is because the graph touches the x-axis 4 times. The sign and value of the zero depends on the location of the zero on the x-axis. The graph can be of an equation with degree of 4 or more.

Answer 2

From the graph , we can see that the line of the graph passes through the points ,

(0,0)

(-1,0)

( 2, 0 )

(3,0)

These are the roots of the equation. The point on which the graph cuts the x axis are the roots of the graph . Here since the graph cuts x axis 4 times , it has 4 roots as ,

-1

2

0

3

Equation of the graph :-

`\implies f(x) = x ( x +1)(x-2) ( x-3)`

We first have to create the roots of the graph. This can the done by creating factors based on the x intercepts as shown in the equation above. We have to make sure we change the signs of the x intercepts in order to create zeros.

We then have to square (x+0) because it does not completely cross the x axis. Finally we we multiply everything by -1 because the graph is starting from the top.

`\longrightarrow \underline{\boxed{ {x}^(2) (x + 1)(x - 2)(x - 3)}}`