Factoring Perfect Square Trinomials

The video tutorial covers the technique of factoring perfect square trinomials. It begins with an introduction to the concept and provides several examples, including x^2 + 6x + 9, x^2 - 18x + 81, and 4x^2 + 12x + 9. The main problem focuses on factoring x^2 - 10x + 25. The video also includes an assignment for viewers to practice. The teacher explains each step in detail, ensuring a clear understanding of the process.

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

• Check if the first and last terms are perfect squares

• Identify the middle term

• Multiply the first and last terms

• Add the coefficients of the terms

Which of the following is a perfect square trinomial?

• x^2 - 8x + 15

• x^2 + 7x + 10

• x^2 - 10x + 25

• x^2 + 5x + 6

What is the square root of the first term in the trinomial x^2 + 6x + 9?

• 9

• x

• 3

• 6

How do you determine the sign of the factors in a perfect square trinomial?

• Use the sign of the middle term

• Use the sign of the last term

• Use the sign of the first term

• Use the opposite sign of the middle term

What is the simplified form of the factors of x^2 + 6x + 9?

• (x - 3)(x - 3)

• (x + 3)(x + 3)

• (x - 6)(x - 6)

• (x + 6)(x + 6)

What is the square root of 81 in the trinomial x^2 - 18x + 81?

• 12

• 8

• 9

• 10

How can the factors of x^2 - 18x + 81 be expressed in a simplified form?

• (x + 18)^2

• (x - 18)^2

• (x - 9)^2

• (x + 9)^2

What is the assignment given to students in the video?

• Factor x^2 + 6x + 9

• Factor x^2 - 12x + 6

• Factor x^2 - 10x + 25

• Factor x^2 - 18x + 81

What is the square root of the first term in the trinomial 4x^2 + 12x + 9?

• 2x

• 6x

• 4x

• 3x

What is the simplified form of the factors of 4x^2 + 12x + 9?

• (4x + 3)^2

• (2x - 3)^2

• (4x - 3)^2

• (2x + 3)^2