Student asks: Factor a polynomial as a product of consecutive integers

The video tutorial covers the process of factoring polynomials, starting with the basics and moving through specific examples. It explains how to factor expressions like X^2 - 4 using the difference of squares, X^3 - X by factoring out common terms, and N^5 - 5N^3 + 4N into a product of five consecutive integers. The tutorial emphasizes understanding the difference of squares and common factor techniques, providing step-by-step guidance and examples to illustrate these concepts.

What is the factored form of the expression X^2 - 4?

• (X - 4)(X + 4)

• (X - 2)(X + 2)

• (X - 2)^2

• (X + 2)^2

Which technique is used to factor the expression X^2 - 4?

• Quadratic formula

• Difference of squares

• Greatest common factor

• Sum of cubes

How can the expression X^3 - X be factored?

• X(X^2 + 1)

• X(X^2 - 1)

• X(X - 1)(X + 1)

• X^2(X - 1)

What is the greatest common factor in the expression X^3 - X?

• X^2

• X

• X^3

• 1

What is the first step in factoring the expression N^5 - 5N^3 + 4N?

• Use the quadratic formula

• Complete the square

• Apply the sum of cubes

• Factor out N

Which of the following is a factor of N^5 - 5N^3 + 4N?

• N - 2

• N + 3

• N^3 - 1

• N^2 + 1

How many consecutive integers are in the factored form of N^5 - 5N^3 + 4N?

• 6

• 5

• 4

• 3