Question

Which equation could represent p? Please please help

Answer 1

Answer:

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

Step-by-step 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.