SOLUTION: i need help with solving parabola (3x+8)(2x+1)

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Question 249950: i need help with solving parabola
(3x+8)(2x+1)


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x%2B8%29%282x%2B1%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283x%29%2B8%29%28highlight%282x%29%2B1%29 Multiply the First terms:%283%2Ax%29%2A%282%2Ax%29=6%2Ax%5E2.


%28highlight%283x%29%2B8%29%282x%2Bhighlight%281%29%29 Multiply the Outer terms:%283%2Ax%29%2A%281%29=3%2Ax.


%283x%2Bhighlight%288%29%29%28highlight%282x%29%2B1%29 Multiply the Inner terms:%288%29%2A%282%2Ax%29=16%2Ax.


%283x%2Bhighlight%288%29%29%282x%2Bhighlight%281%29%29 Multiply the Last terms:%288%29%2A%281%29=8.


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So we have the terms: 6%2Ax%5E2, 3%2Ax, 16%2Ax, 8


6%2Ax%5E2%2B3%2Ax%2B16%2Ax%2B8 Now add every term listed above to make a single expression.


6%2Ax%5E2%2B19%2Ax%2B8 Now combine like terms.


So %283x%2B8%29%282x%2B1%29 FOILs to 6%2Ax%5E2%2B19%2Ax%2B8.


In other words, %283x%2B8%29%282x%2B1%29=6%2Ax%5E2%2B19%2Ax%2B8.