Rewriting a perfect square trinomial as a binomial squared

The video tutorial explains how to factor expressions into perfect square binomials. It begins with an introduction to the concept, followed by a detailed example of factoring the trinomial X^2 + 4X + 4. The instructor explains the characteristics of perfect square trinomials and demonstrates how to create them using the B/2 method. The tutorial emphasizes understanding the definition and application of perfect square trinomials in algebra.

What is the first step in factoring a trinomial into a perfect square binomial?

• Multiply the first and last terms

• Square the first term

• Find two numbers that multiply to the last term and add to the middle term

• Divide the middle term by 2

In the example X^2 + 4X + 4, what are the two numbers that multiply to 4 and add to 4?

• 3 and 1

• 4 and 0

• 2 and 2

• 1 and 3

How can the expression (X + 2)(X + 2) be rewritten?

• X^2 + 4

• X^2 + 4X + 4

• X^2 + 2X + 2

• X + 2^2

What is a perfect square trinomial?

• A trinomial that can be factored into two different binomials

• A trinomial that can be factored into a binomial squared

• A trinomial with no real roots

• A trinomial with equal coefficients

What is the final form of the expression X^2 - 1/2X + 1/16?

• X + 1/2^2

• X + 1/4^2

• X - 1/2^2

• X - 1/4^2