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 a polynomial?

Back

Look for the Greatest Common Factor (GCF) among the terms.

Front

Factor: x^3 + 4x^2 + 4x + 16

Back

(x^2 + 4)(x + 4)

Front

Factor: x^2 - 49

Back

(x + 7)(x - 7)

Front

What do you know about the signs in the binomial factors of a trinomial with a negative 'c' value?

Back

The signs are one + and one -.

Front

Factor: x^2 - 16

Back

(x + 4)(x - 4)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

What does GCF stand for?

Back

Greatest Common Factor.

Front

What is the difference of squares?

Back

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