SOLUTION: (x-3)(x+2) express each product as a polynomial

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Question 257315: (x-3)(x+2) express each product as a polynomial
Found 2 solutions by jim_thompson5910, Fombitz:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-3%29%28x%2B2%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28x%29-3%29%28highlight%28x%29%2B2%29 Multiply the First terms:%28x%29%2A%28x%29=x%5E2.


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


%28x%2Bhighlight%28-3%29%29%28highlight%28x%29%2B2%29 Multiply the Inner terms:%28-3%29%2A%28x%29=-3%2Ax.


%28x%2Bhighlight%28-3%29%29%28x%2Bhighlight%282%29%29 Multiply the Last terms:%28-3%29%2A%282%29=-6.


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So we have the terms: x%5E2, 2%2Ax, -3%2Ax, -6


x%5E2%2B2%2Ax-3%2Ax-6 Now add every term listed above to make a single expression.


x%5E2-x-6 Now combine like terms.


So %28x-3%29%28x%2B2%29 FOILs to x%5E2-x-6.


In other words, %28x-3%29%28x%2B2%29=x%5E2-x-6.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the FOIL method,
(x-3)(x+2)
First : %28x%29%28x%29=x%5E2
Outer : %28x%29%282%29=2x
Inner : %28-3%29%28x%29=-3x
Last : %28-3%29%282%29=-6
Now add it all together,
%28x-3%29%28x%2B2%29=x%5E2%2B2x-3x-6
%28x-3%29%28x%2B2%29=x%5E2-x-6