Learn how to factor a perfect square trinomial to a binomial squared

The video tutorial explains how to factor a trinomial, focusing on identifying and factoring perfect square trinomials. It begins with checking for a greatest common factor (GCF) and then moves on to recognizing perfect square trinomials. The process involves finding two numbers that multiply to a given number and add to another, leading to the realization that the trinomial is a perfect square. The tutorial concludes by demonstrating how to express the trinomial as a binomial squared.

What is the first step to consider when factoring a trinomial?

• Identify if the trinomial is quadratic.

• Determine if the leading coefficient is greater than 1.

• Look for a greatest common factor (GCF).

• Check if the trinomial is a perfect square.

When the leading coefficient 'a' is 1, what are the typical factors of the trinomial?

• X & Z

• X & Y

• X & X

• Y & Y

Which two numbers multiply to 36 and add up to 12?

• 4 and 9

• 5 and 7

• 6 and 6

• 3 and 12

What is a perfect square trinomial?

• A trinomial with no real roots.

• A trinomial that can be factored into a binomial squared.

• A trinomial that can be factored into two different binomials.

• A trinomial with a leading coefficient greater than 1.

How can the trinomial X^2 + 12X + 36 be factored?

• (X + 3)^2

• (X + 6)^2

• (X + 9)^2

• (X + 12)^2