Factor Trinomial 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 all terms in a polynomial.

Front

How do you factor a trinomial with GCF?

Back

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

Front

Factor the trinomial completely: 2x^2 + 12x + 16

Back

2(x + 2)(x + 4)

Front

What is the first step in factoring 3x^2 + 18x + 15?

Back

The first step is to factor out the GCF, which is 3.

Front

Factor the trinomial: 3x^2 + 18x + 15

Back

3(x + 5)(x + 1)

Front

What is the factored form of 3x^2 - 9x - 120?

Back

3(x - 8)(x + 5)

Front

How do you check if your factorization is correct?

Back

Multiply the factors back together to see if you get the original polynomial.

Front

Factor the trinomial: 6x^2 - 36x

Back

6x(x - 6)

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient affects the shape and direction of the parabola represented by the trinomial.