How to factor a quadratic trinomial when a is equal to one

The video tutorial explains how to factor trinomials when the leading coefficient is 1. It introduces two methods: the diamond method and mental factoring. The diamond method is detailed with examples, while mental factoring is demonstrated for efficiency. The tutorial also covers advanced examples to solidify understanding.

What is the primary focus when factoring a trinomial where the leading coefficient is 1?

• Finding the greatest common factor

• Solving for the variable

• Identifying the roots of the equation

• Rewriting it as a product of two binomials

In the diamond method, what do the letters B and C represent?

• B is the linear coefficient, C is the constant

• B is the quadratic coefficient, C is the linear coefficient

• B is the constant, C is the linear coefficient

• B is the constant, C is the quadratic coefficient

When using the diamond method, what is the goal when choosing two numbers?

• They should add to the constant term

• They should be equal to the quadratic coefficient

• They should multiply to the constant and add to the linear coefficient

• They should multiply to the linear coefficient

What is a key consideration when factoring trinomials with a negative constant?

• Both factors must be positive

• The middle term must be positive

• One factor must be negative

• The constant must be zero

How do you determine which factor should be negative when the constant is negative?

• The larger factor should be negative

• The smaller factor should be negative

• Neither factor should be negative

• Both factors should be negative

What is a perfect square trinomial?

• A trinomial that cannot be factored

• A trinomial with no linear term

• A trinomial with a constant term of zero

• A trinomial that can be factored into two identical binomials

When the middle term is negative, what should be considered about the factors of a positive constant?

• The factors should be equal

• Both factors should be negative

• Both factors should be positive

• One factor should be positive and one negative