Factoring Expressions

Front

What is factoring in algebra?

Back

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

Front

What is the factored form of the expression 6m + 2n - 14?

Back

2(3m + n - 7)

Front

How do you factor out a common coefficient from an expression?

Back

Identify the greatest common factor (GCF) of the terms and divide each term by the GCF, then express the original expression as the product of the GCF and the resulting expression.

Front

What is the factored form of the expression \frac{1}{2}x - 12?

Back

1/2(x - 24)

Front

How do you factor a polynomial expression?

Back

Look for common factors, use grouping, or apply special factoring techniques such as difference of squares or perfect square trinomials.

Front

What is the factored form of -8x^2 + 24x?

Back

-4x(2x - 6)

Front

What is the first step in factoring a polynomial?

Back

Identify and factor out the greatest common factor (GCF) from all terms.

Front

What is the factored form of the expression 8w^3 + 16w^2 + 4w?

Back

4w(2w^2 + 4w + 1)

Front

What does it mean to distribute in algebra?

Back

Distributing involves multiplying a single term by each term inside a set of parentheses.

Front

How is factoring related to distributing?

Back

Factoring is the reverse process of distributing; it involves rewriting an expression as a product rather than a sum.