How do you factor a trinomial when a is equal to one

The video tutorial explains how to factor a trinomial when the leading coefficient a is equal to 1. It introduces the quadratic form x^2 + bx + c and demonstrates the factoring process using the diamond method. The tutorial covers identifying the greatest common factor (GCF), applying the diamond method to find two numbers that multiply to c and add to b, and verifying the factors using the FOIL method. The video concludes with a summary of the steps involved in factoring trinomials.

What is the form of a trinomial when the leading coefficient a is equal to 1?

• ax^3 + bx + c

• x^3 + bx + c

• ax^2 + bx + c

• x^2 + bx + c

What is the first step in factoring a quadratic trinomial?

• Identify the constant term

• Find the greatest common factor (GCF)

• Use the FOIL method

• Apply the quadratic formula

In the diamond method, what do the two numbers need to do?

• Add to give the leading coefficient and multiply to give the constant term

• Multiply to give the middle coefficient and add to give the constant term

• Multiply to give the constant term and add to give the middle coefficient

• Add to give the constant term and multiply to give the middle coefficient

What is the purpose of using the FOIL method in factoring?

• To simplify the trinomial

• To solve the quadratic equation

• To verify the factorization of a trinomial

• To find the greatest common factor

When using the FOIL method, what should the product of the two binomials equal?

• The sum of the coefficients

• The difference of the terms

• The original trinomial

• The square of the constant term