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.

Front

What is the first step in factoring by grouping?

Back

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

Front

Factor the Polynomial: 16x² + 48x

Back

16x (x + 3)

Front

Factor the Polynomial: 8x³ - 64x² + x - 8

Back

(8x² + 1) (x - 8)

Front

Factor the Polynomial: x³ - x² + 2x - 2

Back

(x² + 2) (x - 1)

Front

Factor the Polynomial: 3x³ - 4x² + 9x - 12

Back

(x² + 3) (3x - 4)

Front

Factor the Polynomial: 12x³ - 21x² + 28x - 49

Back

(3x² + 7) (4x - 7)

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 does it mean to factor a polynomial?

Back

To factor a polynomial means to express it as a product of its factors.

Front

What is the significance of the distributive property in factoring?

Back

The distributive property allows us to factor out common terms from polynomials.

Tags

CCSS.7.EE.A.1