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 20x³ - 25x² + 4x - 5?

Back

(5x² + 1)(4x - 5)

Front

What does it mean to simplify an expression?

Back

To combine like terms and reduce the expression to its simplest form.

Front

What is the simplified form of (3x³ + 9x² - 2x) - (7x³ - 6x² + 1)?

Back

-4x³ + 15x² - 2x - 1

Front

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

Back

(x² - 2)(x + 7)

Front

What is a common factor?

Back

A number or expression that divides two or more numbers or expressions evenly.

Front

What is the purpose of factoring polynomials?

Back

To simplify expressions and solve equations more easily.

Front

What is the grouping method in factoring?

Back

A technique where terms are grouped to find common factors before factoring them out.