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 20x³ - 25x² + 4x - 5?

Back

(5x² + 1)(4x - 5)

Front

What does it mean to factor a polynomial?

Back

To express it as a product of its factors.

Front

What is the significance of common factors in grouping?

Back

Common factors allow for simplification and easier factoring.

Front

How do you factor the expression x³ - 4x² - 4x + 16?

Back

(x - 4)(x² - 4)

Front

What is the result of factoring 4p³ + 8p² + 3p + 6?

Back

(4p² + 3)(p + 2)

Front

What is the purpose of factoring by grouping?

Back

To simplify polynomials and solve equations more easily.

Front

How do you factor the expression x³ + 7x² - 2x - 14?

Back

(x² - 2)(x + 7)