SOLUTION: Choose the polynominal that represents the area of the rectangle with sides (x + 6) and (x - 2): x 2 - 4x - 12 x 2 + 8x - 12 x 2 + 8x + 12 x 2 - 8x - 12 x 2 -

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Choose the polynominal that represents the area of the rectangle with sides (x + 6) and (x - 2): x 2 - 4x - 12 x 2 + 8x - 12 x 2 + 8x + 12 x 2 - 8x - 12 x 2 -       Log On


   

Question 145202: Choose the polynominal that represents the area of the rectangle with sides (x + 6) and (x - 2):
x 2 - 4x - 12
x 2 + 8x - 12
x 2 + 8x + 12
x 2 - 8x - 12
x 2 - 8x + 12
x 2 - 4x + 12
x 2 + 4x + 12
x 2 + 4x - 12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


%28x%2B6%29%28x-2%29 To find the area, simply multiply the given sides x%2B6 and x-2


Now let's FOIL the expression



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


%28highlight%28x%29%2B6%29%28highlight%28x%29-2%29 Multiply the First terms:%28x%29%2A%28x%29=x%5E2


%28highlight%28x%29%2B6%29%28x%2Bhighlight%28-2%29%29 Multiply the Outer terms:%28x%29%2A%28-2%29=-2x


%28x%2Bhighlight%286%29%29%28highlight%28x%29-2%29 Multiply the Inner terms:%286%29%2A%28x%29=6x


%28x%2Bhighlight%286%29%29%28x%2Bhighlight%28-2%29%29 Multiply the Last terms:%286%29%2A%28-2%29=-12


x%5E2-2x%2B6x-12 Now collect every term to make a single expression



x%5E2%2B4x-12 Now combine like terms


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Answer:
So %28x%2B6%29%28x-2%29 foils and simplifies to x%5E2%2B4x-12

In other words, %28x%2B6%29%28x-2%29=x%5E2%2B4x-12



So the area is x%5E2%2B4x-12