Factor by Grouping

Front

What is factoring by grouping?

Back

Factoring by grouping is a method used to factor polynomials by grouping terms with common factors.

Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms of the polynomial into pairs.

Front

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

Back

(x-4)(x²-4) or (x-4)(x-2)(x+2) depending on the context.

Front

What is the factored form of 4p³ + 8p² + 3p + 6?

Back

(4p² + 3)(p + 2) is the factored form.

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials helps simplify expressions and solve equations.

Front

What does it mean to factor out a common factor?

Back

Factoring out a common factor means to take out the greatest common factor from the terms.

Front

How do you identify a common factor in a polynomial?

Back

Look for the highest degree term that appears in each part of the polynomial.

Front

What is the factored form of 5n³ - 10n² + 3n - 6?

Back

(5n² + 3)(n - 2) is the factored form.

Front

What is the significance of the expression (x² - 4)?

Back

The expression (x² - 4) is a difference of squares, which can be factored further into (x - 2)(x + 2).

Front

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

Back

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