SOLUTION: What are the steps to convert this problem into a polynomial equation? f(x)=-3x3(x-2)2(x+5)

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Question 215553: What are the steps to convert this problem into a polynomial equation?
f(x)=-3x3(x-2)2(x+5)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What are the steps to convert this problem into a polynomial equation?
f%28x%29=-3x%5E3%28x-2%29%2A2%2A%28x%2B5%29

Step 1. Multiply out everything and collect like terms. Order terms in descending order in terms of its degree.

f%28x%29=-3x%5E3%28x-2%292%28x%2B5%29=-6x%5E3%28x-2%29%28x%2B5%29

Step 2. Let's multiply (x-2)(x+5) using the FOIL method:

%28x-2%29%28x%2B5%29=x%5E2%2B5x-2x-10=x%5E2%2B3x-10

Step 3. Now Take the equation in Step 2 and substitute in Step 1

f%28x%29=-6x%5E3%28x-2%29%28x%2B5%29=-6x%5E3%28x%5E2%2B3x-10%29=-6x%5E5-18x%5E4%2B60x%5E3

Step 4. Answer is f%28x%29=-6x%5E5-18x%5E4%2B60x%5E3

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J