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 together, allowing for easier factorization.

Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms of the polynomial into pairs or sets that have common factors.

Front

Factor the expression: 4p³ + 8p² + 3p + 6

Back

(4p² + 3)(p + 2)

Front

Factor the expression: 6x² + 2x - 21x - 7

Back

(2x - 7)(3x + 1)

Front

Factor the expression: x³ + 7x² - 2x - 14

Back

(x² - 2)(x + 7)

Front

Factor the expression: 3v² + 3v - 7v - 7

Back

(3v - 7)(v + 1)

Front

Factor the expression: 2n² + 10n + 3n + 15

Back

(2n + 3)(n + 5)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials simplifies expressions, makes solving equations easier, and helps in finding roots.

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down a polynomial into its simplest factors, which cannot be factored further.