Factor by Grouping

Front

What is Factor by Grouping?

Back

A method of factoring that involves grouping terms with common factors to simplify the expression.

Front

How do you identify common factors in a polynomial?

Back

Look for terms that share a common variable and coefficient, then factor them out.

Front

What is the first step in factoring by grouping?

Back

Group the polynomial into two pairs of terms.

Front

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

Back

(5x² + 1)(4x - 5)

Front

Factor the expression: 3a² + a + 3a + 1

Back

(3a + 1)(a + 1)

Front

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

Back

(x² - 2)(x + 7)

Front

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

Back

(5n² + 3)(n - 2)

Front

Factor the expression: x² + 12x - 3x - 36

Back

(x + 12)(x - 3)

Front

What is a polynomial?

Back

An expression consisting of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.

Front

What does it mean for a polynomial to be factorable?

Back

A polynomial is factorable if it can be expressed as a product of two or more polynomials.