Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

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 out the GCF from an expression?

Back

To factor out the GCF, identify the largest factor common to all terms in the expression, divide each term by the GCF, and write the expression as the GCF multiplied by the resulting expression.

Front

What is the factored form of a quadratic expression?

Back

The factored form of a quadratic expression is expressed as (ax + b)(cx + d), where a, b, c, and d are constants.

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to check for a GCF among the coefficients and terms of the expression.

Front

How do you factor a difference of squares?

Back

A difference of squares can be factored using the formula a² - b² = (a + b)(a - b).

Front

What is the factored form of x² + 7x - 30?

Back

The factored form is (x + 10)(x - 3).

Front

What is the factored form of 3x² + 18x + 15?

Back

The factored form is 3(x + 5)(x + 1).

Front

What is the factored form of 9x²y - 4y?

Back

The factored form is y(3x - 2)(3x + 2).

Front

What is the factored form of 3n² - 15n + 18?

Back

The factored form is 3(n - 3)(n - 2).