Factoring 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 simplification.

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 Polynomial: 5x^3 - 10x^2 + 3x - 6

Back

(5x^2 + 3)(x - 2)

Front

Factor the Polynomial: 5x^2 + 45x

Back

5x(x + 9)

Front

What is a common factor?

Back

A common factor is a number or variable that divides two or more terms without leaving a remainder.

Front

Factor the Polynomial: x^3 - x^2 + 2x - 2

Back

(x^2 + 2)(x - 1)

Front

What does it mean to factor a polynomial?

Back

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

Front

Factor the Polynomial: 6x^3 - 16x^2 + 21x - 56

Back

(2x^2 + 7)(3x - 8)

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials simplifies expressions and helps in solving equations.

Front

Factor the Polynomial: 16x^2 + 48x

Back

16x(x + 3)