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Try to think of the greatest common factor (GCF) between the coefficients and the GCF between the variables separately.
- x(x-3)
The greatest common factor (GCF) of an expression is a common factor of the terms in the expression. It is the common factor with the greatest coefficient and the greatest exponent. The GCF of the given expression is - x. Because of the order of the terms, it will be easier to visualize if we factor out the -1 and the x separately.
Factor out a minus sign
Split into factors
Factor out x
The factored form of - x^2+3x is - x(x-3). Note that it is one of many correct ways to rewrite the expression.
Distribute - x
- a(- b)=a* b
Multiply
After applying the Distributive Property, the result is the same as the given expression. Therefore, we can be sure our solution is correct!