SOLUTION: I have not seen this written out in words like this before. I have the answer but don 't know how they got it. the question is: which of the following expressions represents the pr

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have not seen this written out in words like this before. I have the answer but don 't know how they got it. the question is: which of the following expressions represents the pr      Log On


   



Question 253921: I have not seen this written out in words like this before. I have the answer but don 't know how they got it. the question is: which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x? the answer is 6x^2-5x-6.
Found 3 solutions by richwmiller, stanbon, scott8148:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
I saw the word product and with out looking any further I am guessing that they multiplied out the two factors
(2x-3) (3x+2)
use foil
6x^2-9x+4x-6
there it is after you combine -9x and +4x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the product of
3 less than twice x: (2x-3)
2 more than the quantity 3 times x: (3x+2)
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Product is (2x-3)(3x+2) = 6x^2+4x-9x-6 = 6x^2 -5x -6
============================
Cheers,
Stan H.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"3 less than twice x" ___ 2x - 3

"2 more than the quantity 3 times x" ___ 3x + 2

product means multiplication

FOILing ___ 6x^2 + 4x - 9x - 6 ___ 6x^2 - 5x - 6