Learn how to factor a trinomial using a perfect square trinomial method

The video tutorial explains perfect square trinomials, showing how to identify and factor them. It covers the format of a^2 + 2ab + b^2 and a^2 - 2ab + b^2, demonstrating how these can be rewritten as (a + b)^2 and (a - b)^2, respectively. The tutorial includes an example where a trinomial is factored using this method, highlighting the benefits of recognizing perfect square trinomials for simplifying algebraic expressions.

What is the general form of a perfect square trinomial?

• a^2 + b^2

• a^2 - 2ab + b^2

• a^2 + 2ab + b^2

• a^2 - b^2

How can a perfect square trinomial be rewritten?

• a^2 + b^2

• (a + b)(a - b)

• (a - b)^2

• (a + b)^2

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

• Subtract the terms

• Multiply the terms

• Add the coefficients

• Identify the square terms

In the example provided, what is the value of 'b' if b^2 = 25?

• 3

• 5

• 4

• 6

What is the factored form of the trinomial in the example?

• (x - 5)^2

• (x + 5)^2

• x^2 + 10x + 25

• x^2 - 10x + 25