Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 11 Page 224

Try to think of the greatest common factor (GCF) between the coefficients and the GCF between the variables separately.

- x(x-3)

Practice makes perfect

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.

- x^2+3x
-(x^2-3x)
-(x* x-3* x)
- x(x-3)

The factored form of - x^2+3x is - x(x-3). Note that it is one of many correct ways to rewrite the expression.

Checking Our Answer

Check your answer ✓
To check our answer, we can apply the Distributive Property and compare the result with the given expression.

- x(x-3)
- x(x)-3(- x)
- x(x)+3x
- x^2+3x

After applying the Distributive Property, the result is the same as the given expression. Therefore, we can be sure our solution is correct!