The two x-intercepts are -1/2 and 3.
Near -1/2: f(x)=(2x+1)(x - 3)squared
show the work on solving this problem for example how do they get
(2x+1)(-1/2 + 3)sqrt. Thank you for your help
To find the expression (2x+1)(-1/2 + 3) squared, we need to follow a few steps:
Step 1: Simplify the expression (-1/2 + 3) squared:
To square the expression (-1/2 + 3), we first simplify the expression within the parentheses. Adding -1/2 and 3 gives us 2 1/2 or 5/2. So, the expression becomes (5/2) squared.
Step 2: Squaring the expression (5/2):
To square (5/2), we multiply it by itself. So, (5/2) squared is calculated as (5/2) * (5/2).
Step 3: Multiply (2x+1) with the result from Step 2:
Now, we can multiply the expression (2x + 1) with the result from Step 2, which is (5/2) * (5/2).
Overall, the expression (2x+1)(-1/2 + 3) squared can be simplified as (2x + 1) * [(5/2) * (5/2)].