Factoring Quadratics using the Perfect Squares Trinomial Method

This video tutorial teaches how to factor quadratics using the perfect square trinomial method. It explains the concept of factoring, demonstrates how perfect square trinomials are formed, and provides examples to identify and factor them. The lesson concludes with a summary of the key points covered.

What is the result of multiplying (a + b)²?

• a² + 2ab + b²

• a² - ab + b²

• a² - 2ab + b²

• a² + ab + b²

Which of the following is a characteristic of a perfect square trinomial?

• The middle term is the sum of the square roots of the first and last terms.

• The middle term is twice the product of the square roots of the first and last terms.

• The middle term is the difference of the square roots of the first and last terms.

• The middle term is half the product of the square roots of the first and last terms.

How can you determine if a quadratic is a perfect square trinomial?

• Check if the middle term is the square of the last term.

• Check if the middle term is twice the product of the square roots of the first and last terms.

• Check if the middle term is the square of the first term.

• Check if the middle term is half the product of the first and last terms.

What is the factored form of x² - 10x + 25?

• (x + 10)²

• (x - 10)²

• (x - 5)²

• (x + 5)²

Which expression is a perfect square trinomial?

• x² + 6x + 9

• x² + 8x + 16

• x² + 9x + 20

• x² + 7x + 12