Factor a trinomial by first factoring out the GCF

The video tutorial explains how to factor a trinomial by first identifying the greatest common factor (GCF) and then factoring the trinomial into two binomials. The process involves checking for common factors, writing down factor pairs of the constant term, and ensuring the middle term is achieved by adding the inner and outer products. The tutorial concludes with the complete factorization of the trinomial.

What is the first step in factoring a trinomial?

• Add the coefficients

• Multiply the terms

• Factor out the greatest common factor

• Identify the quadratic term

When factoring a trinomial, what condition allows it to be broken down into two binomial factors?

• The quadratic term has a coefficient of zero

• The middle term is zero

• The constant term is negative

• The quadratic term has a coefficient of one

Which of the following pairs of numbers multiply to 18 and add to -9?

• -9 and 2

• 6 and 3

• -6 and -3

• 9 and 2

What is the factored form of the trinomial X^2 - 9X + 18?

• (X + 6)(X + 3)

• (X - 6)(X + 3)

• (X - 6)(X - 3)

• (X + 9)(X - 2)

If a trinomial cannot be factored further, what is it called?

• Prime

• Composite

• Unfactorable

• Simplified