SOLUTION: 4. Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2)

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Question 215258This question is from textbook Intermediate Algebra
: 4. Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2) This question is from textbook Intermediate Algebra

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do I Multiply, simplify, and write in descending order:

%28t+%2B+4%29%28t%2B1%29%282t-2%29


Step 1. Let's start with multiplying (t+4)(t+1) using the FOIL method:

1) Multiply the F-IRST Terms t*t,
2) Multiply the O-UTER terms t*1
3) Multiply the I-NNER terms 4*t and finally
4) Multiply the L-AST terms, 4*1 or

%28t%2B4%29%28t%2B1%29=t%2At%2Bt%2A1%2B4%2At%2B4%2A1=t%5E2%2Bt%2B4t%2B4=t%5E2%2B5t%2B4

Step 2. Next we'll take the result of Sttep 1 given as t%5E2%2B5t%2B4 and multiply %282t-2%29. Take each term in t%5E2%2B5t%2B4 and multiply by 2t-2. Then simplify by adding like terms

%28t%5E2%2B5t%2B4%29%282t-2%29=+t%5E2%2A%282t-2%29%2B5t%2A%282t-2%29%2B4%2A%282t-2%29

Then multiply the terms and add like terms

2t%5E3-2t%5E2%2B10t%5E2-10t%2B8t-8=+2t%5E3%2B8t%5E2-2t-8

Note: What we did here is similar to the steps in Step 1.

Step 3. ANSWER

%28t+%2B+4%29%28t+%2B+1%29%282t+-2%29=2t%5E3%2B8t%5E2-2t-8

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J