Question

Which equation could represent p? Please please help

Answer 1

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

Explanation:

Looking at the brackets you can see where the curve will intersect the x-axis.

The graph shows the curve intersecting at (0,-3) and (0,2).

This means:

x = -3

AND

x = 2

Rearrange the equations, equating them to 0.

x + 3 = 0

x - 2 = 0

This will be the values in the brackets.

Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.

Therefore your brackets are: (x+3)(x-2)(x-2)

Which can be simplified:

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

Where ^2 means squared.

Answer 2

The equation could represent p is P(x) = (x+3)(x-2)^2

The brackets indicate where the curve will intersect the x-axis.

The curve intersects the graph at (0,-3) and (0,2).

That is to say:

x = -3

AND

x = 2

Rearrange the equations so that they equal 0.

x + 3 = 0

x - 2 = 0

The values in the brackets will be used.

We know that x - 2 is a repeating root because the curve only touches it and does not cross it, hence (x-2) is squared.

As a result, your brackets are as follows: (x+3)(x-2)(x-2)

Which of the following can be simplified:

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

Where 2 denotes squared.