Solve by factoring a perfect square trinomial with a fraction

The video tutorial explains how to identify and factor perfect square trinomials. It begins by discussing the characteristics of perfect square trinomials and the importance of recognizing square numbers in the first and last terms. The tutorial then walks through the process of factoring a given trinomial, verifying the factorization, and solving the equation using the square root method. The solution is confirmed by checking the middle term and applying algebraic techniques.

What should you check first when determining if a trinomial is a perfect square?

• If the middle term is a perfect square

• If the first and last terms are perfect squares

• If all terms are even numbers

• If the trinomial is already factored

What is the square root of one-ninth in the context of factoring a trinomial?

• One-half

• One-fourth

• One-sixth

• One-third

Why is it important to verify the middle term when factoring a trinomial?

• To determine if the trinomial is linear

• To ensure the trinomial is a perfect square

• To confirm the trinomial is a quadratic

• To check if the trinomial is divisible by 2

Which method is used to solve the trinomial equation after rewriting it as a binomial squared?

• Square root method

• Completing the square

• Quadratic formula

• Zero-product property

What is the final solution to the trinomial equation in the video?

• x = 24

• x = 18

• x = 12

• x = 30