SOLUTION: We are having our FCAT on Monday. I have to study for my FCAT because my teacher hasn't been here all week. I have no confidence in passing this test especially on this subject. Ho

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: We are having our FCAT on Monday. I have to study for my FCAT because my teacher hasn't been here all week. I have no confidence in passing this test especially on this subject. Ho      Log On


   

Question 737017: We are having our FCAT on Monday. I have to study for my FCAT because my teacher hasn't been here all week. I have no confidence in passing this test especially on this subject. How do you solve (7x+8)(5x+2) in FOIL Method?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287x%2B8%29%285x%2B2%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%287x%29%2B8%29%28highlight%285x%29%2B2%29 Multiply the First terms:%287%2Ax%29%2A%285%2Ax%29=35%2Ax%5E2.


%28highlight%287x%29%2B8%29%285x%2Bhighlight%282%29%29 Multiply the Outer terms:%287%2Ax%29%2A%282%29=14%2Ax.


%287x%2Bhighlight%288%29%29%28highlight%285x%29%2B2%29 Multiply the Inner terms:%288%29%2A%285%2Ax%29=40%2Ax.


%287x%2Bhighlight%288%29%29%285x%2Bhighlight%282%29%29 Multiply the Last terms:%288%29%2A%282%29=16.


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So we have the terms: 35%2Ax%5E2, 14%2Ax, 40%2Ax, 16


35%2Ax%5E2%2B14%2Ax%2B40%2Ax%2B16 Now add every term listed above to make a single expression.


35x%5E2%2B54x%2B16 Now combine like terms.


So %287x%2B8%29%285x%2B2%29 FOILs to 35x%5E2%2B54x%2B16.


In other words, %287x%2B8%29%285x%2B2%29=35x%5E2%2B54x%2B16.

I hope your teacher gets better soon.