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 x³ - 5x² + 5x - 25?

Back

(x² + 5)(x - 5) 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 is the factored form of 2x³ - 8x² - x + 4?

Back

(2x² - 1)(x - 4) is the factored form.

Front

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

Back

(x² - 2)(x + 7) is the factored form.

Front

What does it mean to factor out a common factor?

Back

To extract the greatest common factor from a set of terms.

Front

What is a polynomial?

Back

An expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.

Front

What is the role of coefficients in polynomials?

Back

Coefficients are the numerical factors that multiply the variables in a polynomial.