12/04 Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor by grouping?

Back

To factor by grouping, you group terms with common factors, factor them out, and then factor the resulting expression.

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Back

Front

What is the GCF of 8n^3 and 2n^2?

Back

The GCF is 2n^2.

Front

How do you factor the expression 10x + 15?

Back

You can factor it as 5(2x + 3).

Front

What does it mean to combine like terms in algebra?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

When combining like terms, what do you do with the exponents?

Back

You do nothing with the exponents; you only combine the coefficients.

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Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms in pairs that have common factors.