SOLUTION: Which of the following represents the product of 3 less than twice x and 2 more than the quanity 3 times x? a. -6x^2+25x+6 b. 6x^2+5x+6 c. 6x^2-5x+6 d. 6x^2-5x-6 e. 6x^2-13x-6

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Question 148487: Which of the following represents the product of 3 less than twice x and 2 more than the quanity 3 times x?
a. -6x^2+25x+6
b. 6x^2+5x+6
c. 6x^2-5x+6
d. 6x^2-5x-6
e. 6x^2-13x-6
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The expression "the product of 3 less than twice x and 2 more than the quanity 3 times x" translates to


So we need to expand



Start with the given expression.


Now let's FOIL the expression.


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


Multiply the First terms:.


Multiply the Outer terms:.


Multiply the Inner terms:.


Multiply the Last terms:.


Now collect every term to make a single expression.


Now combine like terms.


So FOILS to .


In other words, .


So this means that the answer is choice d)
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