Factoring Quadratics by Grouping (the initial steps)

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 quadratics by grouping?

Back

The first step is to make two groups of terms and factor out the greatest common factor (GCF) from each group.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

If an expression has no common factors, what can you factor out?

Back

You can factor out a 1.

Front

What is the result of factoring -12x + 5?

Back

-1(12x - 5) is the factored form.

Front

What is the purpose of factoring quadratics?

Back

Factoring quadratics helps to simplify expressions and solve quadratic equations.

Front

What does it mean to factor out a negative one?

Back

Factoring out a negative one means to change the signs of all terms in the expression.

Front

What is the next step after grouping terms in 4p^2 + 8p + 3p + 6?

Back

The next step is to factor out the GCF from each group: 4p(p + 2) + 3(p + 2).

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is the result of factoring 3x + 10?

Back

1(3x + 10) or simply (3x + 10).