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anonymous
 one year ago
Arrange the following polynomial into descending order for x, then interpret the degree of the 3rd term.
2xyto the power of 4 + 2xto the power of 2y − 3yto the pwer of 2 + 10xto the power of 3
anonymous
 one year ago
Arrange the following polynomial into descending order for x, then interpret the degree of the 3rd term. 2xyto the power of 4 + 2xto the power of 2y − 3yto the pwer of 2 + 10xto the power of 3

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is it\[2xy ^{4} + 2x ^{2y}  3y ^{2} + 10x ^{3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Or maybe\[2xy ^{4} + 2x ^{2}y  3y ^{2} + 10x ^{3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm having difficulty understanding the question. Is the given expression one of the ones I wrote above?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the seconf one is what they gave me.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. What the question asks you to do is to arrange the terms of the expression in descending powers of x. Can you do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No problem. Do you know what a term is? How many terms are there in the given expression?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's right. Very good. In an algebraic expression, terms are separated by plus and minus signs.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So for each of the four terms, look at the exponent of x. Arrange the terms from the highest to the lowest exponent of x. What do you think?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Which term has the highest exponent of x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02xy to the power of 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not quite. In\[2xy ^{4}\]the 4 is the exponent of y. The exponent of x is 1. Remember that when there is no numbered exponent, it is assumed to be 1. Make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, think of it like\[2x ^{1}y ^{4}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So which term has the highest exponent of x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 3y to the power of 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No. In this term, x doesn't even appear, so it has an exponent of 0. Think of it like\[3x ^{0}y ^{2}\]Try again.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's the one. So that term has to come first. Which term comes next?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There is no such term in the given expression. Look closely.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But recall that there is no x, so it's exponent is zero. Think of it like\[3x ^{0}y ^{2}\]For this question, forget about the exponent of y. The y's are just along for the ride. The question asks you to order the terms based on the exponent of the x. That's all.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0All you should be concerned with is the exponent of the x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let's try looking at it a from a different angle. The first term in the expression is\[2xy ^{4}\]What is the exponent of the x in this term?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope. Remember when there no numbered exponent, it is assumed to be ...?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're doing fine. With some practice, you'll see how easy it is. Any variable (or number) without an exponent written has an exponent of 1. For example\[x=x ^{1}\]\[y=y ^{1}\]\[4=4^{1}\]and so on. If there is no exponent written, it is assumed to be 1. That OK?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For another example, in the term\[5xy ^{3}\]the exponent of the 5 is 1 (because there's no written exponent) the exponent of the x is also 1 (because no exponent is written) and the exponent of the y is 3 Get it so far?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The other rule about exponents that we need for this question is that the value of any number raised to the exponent zero is 1. Mathematically\[x ^{0}=1\]\[y ^{0}=1\]\[2^{0}=1\]. OK?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good. We have all the tools we need. So let's look at the first term again\[2xy ^{4}\]What is the exponent of x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Bravo! Now you're getting it. The second term is\[2x ^{2}y\]What's the exponent of x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yayy! The next term is\[3y ^{2}\]What is the exponent of x? Tricky. Be careful.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm so proud of you! And the last term is\[10x ^{3}\]What's the exponent of x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oops. Have another look.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Almost. Check again.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03 srry i dont have my contacts in

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There you go. Now put these four terms in order from the highest exponent of x to the lowest. Don't forget...the sign (+ or ) has to go with the term.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.010x*3+2xy*4+2x*2y3y*2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Close. Check out the second and third terms. Are they in the right order?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's right. 2xy^4 has a xexponent of 1 while 2x^2y has an xexponent of 2. Understand?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok. So reorder those terms and you'll have your answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Want to practice identifying exponents for a couple of minutes to reinforce this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the answers are either 1 2 3 or 5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh. Sorry, you're right. I had to go back and read the original question. So, now that the terms are all in the correct order, the question wants to know what the degree of the third term is. OK. So what is the third term when they're all in order?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0they dont give the whole thing as options just 1 2 3 5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know. But we need to examine the whole term to determine what degree it is. So what is the 3rd term?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope. That's the 2nd term. What's the third?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right on. Do you know what degree means?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's simple. The degree of an algebraic term is the sum of the exponents of ALL the variables in the term. Can you do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Add the exponents of the x and y together to get the degree.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In\[2xy ^{4}\]what is the exponent of the x? what is the exponent of the y? add them together

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hooray. The degree of that term is 5. There's your answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0finally thank you!! lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're welcome. Practising identifying the exponents of variables and determining the degree of terms will make it seem much easier.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Keep up the hard work
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