(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?

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MrRoyal MrRoyal · Answer 1 · 2021-09-22T04:58:02+02:00

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

The GCF of [tex]24x^2y[/tex] and [tex]34x^2y[/tex] is [tex]2x^2y[/tex]

Given that:

[tex]24x^2y[/tex] and [tex]34x^2y[/tex]

First, we expand both expressions

[tex]24x^2y = 2 \times 2 \times 2 \times 3 \times x \times x \times y[/tex]

[tex]34x^2y = 2 \times 17 \times x \times x \times y[/tex]

The GCF is the product of the common factors.

So, we have:

[tex]GCF = 2 \times x \times x \times y[/tex]

[tex]GCF = 2x^2y[/tex]

Hence, the GCF of [tex]24x^2y[/tex] and [tex]34x^2y[/tex] is [tex]2x^2y[/tex]

Examples of GCF in the family is:

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