Mathematics
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OpenStudy (anonymous):
Choose the polynomial that is written in standard form.
xy3 + 4x5y + 10x3
x4y2 + 4x2y + 8x
-9x4y2 + 4x3y5 + 10x2
x6y3 + 4x4y8 + x2
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OpenStudy (anonymous):
@Luigi0210
OpenStudy (anonymous):
@jim_thompson5910 No sir. Not a clue.
jimthompson5910 (jim_thompson5910):
to find the degree of something like xy^3, you add the exponents
OpenStudy (anonymous):
So the degree of 2x^4+5xy^2= 6?
jimthompson5910 (jim_thompson5910):
no you add the exponents for the monomial
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jimthompson5910 (jim_thompson5910):
degree of 2x^4 is 4
degree of 5xy^2 is 3 (since 1+2 = 3)
jimthompson5910 (jim_thompson5910):
5xy^2 is the same as 5x^1y^2
add the exponents: 1+2 = 3
degree of 5xy^2 is 3
jimthompson5910 (jim_thompson5910):
What's the degree of 4x^5y ?
OpenStudy (anonymous):
7?
OpenStudy (anonymous):
Wait no 6.
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jimthompson5910 (jim_thompson5910):
good, 5+1 = 6
jimthompson5910 (jim_thompson5910):
find the degree of each monomial
jimthompson5910 (jim_thompson5910):
the polynomial where you have the degrees decrease is the one written in standard form
OpenStudy (anonymous):
So in this particular case the answer would be D?
OpenStudy (anonymous):
Can you help me with another?
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jimthompson5910 (jim_thompson5910):
Notice
x^6y^3 has degree: 6+3 = 9
4x^4y^8 has degree: 4+8 = 12
so choice D is not the answer because the degrees are supposed to decrease
OpenStudy (anonymous):
Ohhhh so B?
jimthompson5910 (jim_thompson5910):
much better
OpenStudy (anonymous):
Okay great! Thank you so much!! Can you help me with another one please sir?
jimthompson5910 (jim_thompson5910):
sure, what's your question?
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OpenStudy (anonymous):
Simplify: (6x2 - 3 + 5x3) - (4x3 - 2x2 - 16)
2x3 - x2 + 21
-2x3 + x2 - 21
x3 + 8x2 + 13
-x3 - 8x2 + 13
OpenStudy (anonymous):
I put C and was hoping you could verify.
jimthompson5910 (jim_thompson5910):
C is correct
OpenStudy (anonymous):
Great! Thanks!! You dont know how much I appreciate that!!