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Tomtit [17]
3 years ago
10

Factor this completely P(x)=x^4-256

Mathematics
1 answer:
posledela3 years ago
8 0
\bf p(x)=x^4-256\qquad \boxed{2^8=256}\qquad p(x)=x^{2\cdot 2}-2^{4\cdot 2}
\\\\\\
p(x)=(x^2)^2-(2^4)^2\implies p(x)=[x^2-2^4]~[x^2+2^4]
\\\\\\
p(x)=[x^2-(2^2)^2]~[x^2+2^4]\implies p(x)=[(x-2^2)(x+2^2)]~[x^2+2^4]
\\\\\\
p(x)=(x-4)(x+4)(x^2+16)
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6 0
3 years ago
Hi if u could help me that would be great, have a nice day!!!
LenaWriter [7]

Hey there! I'm happy to help!

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<u>OVERVIEW</u>

Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.

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<u>CHOOSING THE ANSWER</u>

OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.

Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.

OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.

This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.

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<u>THE SOLUTION</u>

Therefore, Option B is the correct answer.

I hope that this helps! Have a wonderful day!

7 0
3 years ago
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6 0
3 years ago
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PtichkaEL [24]
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4 0
3 years ago
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