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Factor out the GCF from the terms of the polynomial 2x3 − 5x2 + 25. A. x2(2x − 5) + 25 B. The polynomial is already fully factored. C. 2x3 − 5(x2 − 5) D. 2(x3 − 2.5x2 + 12.5)

Respuesta :

Answer:

2x³ -5(x²-5)

Step-by-step explanation:

2x3 − 5x2 + 25

2x³ -5x²+25

Factor out the GCF from the terms of the polynomial [tex]2x^3-5x^2+ 25[/tex]

[tex]2(x^3 - 2.5x^2 + 12.5)[/tex]

Given :

the polynomial [tex]2x^3 - 5x^2 + 25[/tex]

Lets factor out GCF from the given polynomial

First we look at the number of each term

lets write the numbers as factors

2 -> 2

5 -> 5

25-> 5 times 5

There is no common factor for all the three numbers

So no GCF for numbers

We have [tex]x^3 and x^2[/tex] only with two terms

So there is no GCF

There is no greatest common factor for the given polynomial

But we can factor out 2 so that we will get decimals

[tex]2x^3 - 5x^2 + 25\\Factor \; out \; 2\\divide \; each \; term \; by \; 2\\2(x^3 - 2.5x^2 + 12.5)[/tex]

Learn more : brainly.com/question/17003813

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