Factoring Special Polynomials: Perfect Squares and Differences

This video tutorial covers the factoring of special polynomials, focusing on perfect square trinomials and the difference of squares. It explains how to identify and factor these polynomials using methods like the box method and provides step-by-step examples. The video also highlights the importance of recognizing the absence of the middle term in difference of squares and concludes with a call to action for viewer engagement.

What types of special polynomials are covered in this video?

• Sum of cubes and difference of cubes

• Difference of squares and sum of squares

• Perfect squares and difference of squares

• Perfect squares and sum of cubes

What is the expanded form of a perfect square trinomial (a + b)^2?

• a^2 + b^2 + 2ab

• a^2 - b^2 - 2ab

• a^2 - b^2 + 2ab

• a^2 + b^2 - 2ab

In the box method, what do the side lengths of the box represent?

• The roots of the polynomial

• The factors of the polynomial

• The terms of the polynomial

• The coefficients of the polynomial

When factoring X^2 - 4X + 4, what are the terms in each binomial?

• X + 4 and X - 4

• X - 2 and X + 2

• X + 2 and X + 2

• X - 2 and X - 2

What is a difference of squares trinomial?

• A trinomial that can be written as (a + b)^2

• A trinomial that can be written as a^2 + b^2

• A trinomial that can be written as (a - b)^2

• A trinomial that can be written as a^2 - b^2

How do you identify a difference of squares?

• When the polynomial has a negative sign

• When the polynomial has three terms

• When the first and last terms are perfect squares

• When the middle term is zero

What is the factored form of X^2 - 9?

• (X - 3)(X + 3)

• (X + 3)(X + 3)

• (X - 3)(X - 3)

• (X + 3)(X - 3)

What is the square root of 25N^2?

• 5

• 5N

• 25N

• N

What is the factored form of 25N^2 - 16?

• (25N - 16)(25N + 16)

• (5N + 4)(5N + 4)

• (5N - 4)(5N + 4)

• (5N - 4)(5N - 4)

What is the square root of 16?

• 2

• 4

• 8

• 16