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 7r³ - 8r² + 42r - 48?

Back

(r² + 6)(7r - 8)

Front

What is the result of factoring 5n³ - 10n² + 3n - 6?

Back

(5n² + 3)(n - 2)

Front

What is the purpose of factoring by grouping?

Back

To simplify polynomials and solve equations more easily.

Front

What is the second step in factoring by grouping?

Back

Factor out the greatest common factor from each group.

Front

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

Back

(2x² - 1)(x - 4)

Front

What is the final factorization of x³ + 7x² - 2x - 14?

Back

(x² - 2)(x + 7)

Front

What does it mean to factor a polynomial?

Back

To express it as a product of its factors.

Front

What is a common mistake when factoring by grouping?

Back

Forgetting to factor out the common factor from each group.