To factor the equation x3+3x2-54x, only two steps need to be taken. First, each term is divided by x to reduce the number of variables, and x is placed out front of the equation, which now looks like this: x(x2+3x-54). The second step factors the equation further. We're trying to get two numbers that can be multiplied together to equal negative 54 and be added together to equal 3. These two numbers are -6 and 9. Now our equation is as follows: x(x-6)(x+9). We can distribute and FOIL our solution to check our answer. Factoring and solving are related because they're both taking an equation and breaking it down to get a more simple answer. Solving and equation includes factoring. Boom. I'm out.
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April 2015
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