How to use a factor tree to factor find the linear factorization of a term, 32x^4 y^2

The video tutorial covers expressions, focusing on prime factorization. It begins with a review of basic operations and introduces the concept of breaking down problems into prime factors using a factoring tree. The tutorial provides a step-by-step example of breaking down the number 32 and variables into their prime factors, demonstrating the process of achieving prime factorization.

What is the main goal when breaking down a problem into prime factorization?

• To find the sum of all factors

• To identify the largest factor

• To divide the number by the smallest factor

• To express the number as a product of prime numbers

Which method is suggested for starting prime factorization?

• Guessing the prime numbers

• Drawing a factoring tree

• Using a calculator

• Listing all factors

When breaking down the number 32, which of the following is a correct pair of factors?

• 10 and 3

• 8 and 4

• 5 and 6

• 7 and 5

How can X to the 4th be expressed in terms of its factors?

• X^3 * X

• X * X * X * X

• X^2 * X^2

• X^4

What is the prime factorization of the expression given in the tutorial?

• 2 * 2 * 2 * 2 * 2 * X * X * X * X * y * y

• 2 * 3 * 5 * X * Y

• 2 * 2 * 3 * X^2 * Y

• 2 * 2 * 2 * X * Y