Factoring Trinomials with GCF

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

What does GCF stand for in factoring?

Back

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

Front

How do you factor a trinomial with GCF?

Back

1. Identify the GCF of the terms. 2. Factor out the GCF. 3. Factor the remaining trinomial if possible.

Front

What is the first step in factoring a trinomial?

Back

The first step is to look for the GCF of all the terms in the trinomial.

Front

Factor the trinomial: 6x^2 + 12x.

Back

6x(x + 2) - GCF is 6x.

Front

What is the factored form of 5n^2 + 15n?

Back

5n(n + 3) - GCF is 5n.

Front

How do you check if your factoring is correct?

Back

You can check by multiplying the factors back together to see if you get the original trinomial.

Front

What is the factored form of 3x^2 - 9x?

Back

3x(x - 3) - GCF is 3x.

Front

What is the role of the GCF in factoring?

Back

The GCF simplifies the expression and makes it easier to factor the remaining polynomial.

Front

Factor the trinomial: 2b^2 + 4b.

Back

2b(b + 2) - GCF is 2b.