Factor by Grouping and GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you factor by grouping?

Back

1. Group terms with common factors. 2. Factor out the GCF from each group. 3. Factor out the common binomial factor.

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n^2)

Front

Factor the expression: 7r^3 - 8r^2 + 42r - 48

Back

(r^2 + 6)(7r - 8)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

Front

Factor the expression: x^3 - 4x^2 - 4x + 16

Back

(x - 4)(x^2 - 4)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 2n^3 + 16n + 12

Back

2(n^3 + 8n + 6)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a^2 - b^2 = (a - b)(a + b).