The graph of the polynomial f(x) is added as an attachment
How to plot the graph of the polynomial?
From the question, the equation of the polynomial is given as
f(x) = x^3 + 3x^2 – 4x – 12
To start with, we need to represent the function of the polynomial properly
So, we have the following representation
f(x) = x³ + 3x² – 4x – 12
Solving further, we need to factorize the function
This gives
f(x) = x²(x + 3) - 4(x + 3)
Factor out x + 3
f(x) = (x² - 4)(x + 3)
Express as difference of two squares
f(x) = (x - 2)(x + 2)(x + 3)
When the above equation is solved, we have
x = 2, x = -2 or = -3
This means that the intercepts of the function are -3, -2 and 2
Next, we plot the polynomial function using the above intercepts and the end behavior
See attachment for the graph of the function
Read more about polynomial at
https://brainly.com/question/17517586
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