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) is the factored form.

Front

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

Back

(5x² + 1)(4x - 5) is the factored form.

Front

What does it mean if a polynomial is 'not factorable'?

Back

It means that the polynomial cannot be expressed as a product of simpler polynomials.

Front

How do you factor the expression 3a² + a + 3a + 1?

Back

(3a + 1)(a + 1) is the factored form.

Front

What is the factored form of 6x² + 2x - 21x - 7?

Back

(2x - 7)(3x + 1) is the factored form.

Front

What is the process of factoring by grouping?

Back

It involves rearranging and grouping terms to find common factors, then factoring those out.

Front

What is the factored form of x³ + 7x² - 2x - 14?

Back

(x² - 2)(x + 7) is the factored form.

Front

What is a common mistake when factoring by grouping?

Back

Forgetting to check if the grouped terms have a common factor.