Question

(Source: Aragon, Catherine A. and Samara Janleen D. Genova. Interactive Mathematics 8. Manila Innovative Educational Materials, Inc., 2014, 21) Answer these follow-up questions briefly but substantially. 1. What is the message for this day? 2. Consider the given polynomial that has the word "WORKS". I 24x?y is changed to 34xły, what is the new GCF? 3. In your family, aside from the common blood flowing in each member, what other things/attitude do you consider as GCF? ​

Answer 1

The GCF of numbers or expressions is the highest factor, common in both numbers or expressions.

The GCF of $24x^2y$ and $34x^2y$ is $2x^2y$

Given that:

$24x^2y$ and $34x^2y$

First, we expand both expressions

$24x^2y = 2 \times 2 \times 2 \times 3 \times x \times x \times y$

$34x^2y = 2 \times 17 \times x \times x \times y$

The GCF is the product of the common factors.

So, we have:

$GCF = 2 \times x \times x \times y$

$GCF = 2x^2y$

Hence, the GCF of $24x^2y$ and $34x^2y$ is $2x^2y$

Examples of GCF in the family is:

• The skin color
• The bone structure
• The color of the hair
• The heights

The above examples would be a GCF if all family members share the same trait.

Read more about GCF at:

brainly.com/question/20061154