Factor by Grouping

Front

What is Factor by Grouping?

Back

A method used to factor polynomials by grouping terms with common factors.

Front

What is the first step in factoring by grouping?

Back

Group the terms of the polynomial into pairs.

Front

How do you factor the expression 2x³ - 8x² - x + 4?

Back

(2x² - 1)(x - 4)

Front

What is the result of factoring x³ + 7x² - 2x - 14 by grouping?

Back

(x² - 2)(x + 7)

Front

What is the factored form of 20x³ - 25x² + 4x - 5?

Back

(5x² + 1)(4x - 5)

Front

How do you factor 30x³ + 15x² - 18x - 9?

Back

3(5x² - 3)(2x + 1)

Front

What is the factored form of x³ - 5x² + 5x - 25?

Back

(x² + 5)(x - 5)

Front

What is a common mistake when factoring by grouping?

Back

Forgetting to factor out the greatest common factor from each group.

Front

What is the importance of checking your factored expression?

Back

To ensure that the factored expression multiplies back to the original polynomial.

Front

What does it mean to factor out a common factor?

Back

To divide each term of the polynomial by the greatest common factor.