SOLUTION: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x? Please explain the correct answer.
a. -6x^2 + 25x + 6
b
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x? Please explain the correct answer.
a. -6x^2 + 25x + 6
b
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Question 85246: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x? Please explain the correct answer.
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 ptaylor(2198) (Show Source):
You can put this solution on YOUR website! let Z=the correct expression
3 less than 2x=2x-3
2 more than the quantity 3 times x=3x+2
The product of the above two quantities is (2x-3)(3x+2)
Now we are told that:
Z=(2x-3)(3x+2) Using the FOIL method, we will expand the right side
Z=6x^2+4x-9x-6 collect like terms:
Z=6x^2-5x-6 --------------------------------d should be the answer
