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 and then factoring out the common binomial.

Front

What is the first step in factoring by grouping?

Back

The first step is to rearrange the polynomial into two groups that can be factored separately.

Front

Factor the expression: 7r³ - 8r² + 42r - 48

Back

(r² + 6)(7r - 8)

Front

Factor the expression: 20x³ - 25x² + 4x - 5

Back

(5x² + 1)(4x - 5)

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degree.

Front

Simplify the product: (x + 2)(x - 5)

Back

x² - 3x - 10

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means to express it as a product of its factors, which are polynomials of lower degrees.

Front

Factor the expression: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

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

Factor the expression: x³ - 4x² - 4x + 16

Back

(x - 4)(x² - 4)