Mathematics
22 Online
OpenStudy (anonymous):
classify by degree and number of terms
4.4x^3 + 3x^2 – x – 4
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OpenStudy (anonymous):
@jim_thompson5910 can you help me?
OpenStudy (lopus):
i believe
degree: 3
terms: 4
jimthompson5910 (jim_thompson5910):
lopus is correct, so this is a cubic polynomial
OpenStudy (anonymous):
I have two more left can you help me solve those?
OpenStudy (lopus):
degree: choose largest term x^3
terms: x^3 x^2 x constant
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jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
9x^2yz
OpenStudy (lopus):
try it
OpenStudy (lopus):
what do you think
OpenStudy (anonymous):
degree is 2?
term is 11?
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jimthompson5910 (jim_thompson5910):
this monomial has more than one variable, so you have to add the exponents for each variable to find the degree
OpenStudy (anonymous):
its a 3rd degree
jimthompson5910 (jim_thompson5910):
closer, but no
jimthompson5910 (jim_thompson5910):
the degree is not 2 and it's not 3
OpenStudy (anonymous):
5th degree
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jimthompson5910 (jim_thompson5910):
9x^2yz is the same as 9x^2y^1z^1
jimthompson5910 (jim_thompson5910):
add up the exponents
OpenStudy (anonymous):
4
jimthompson5910 (jim_thompson5910):
so the degree is 4
jimthompson5910 (jim_thompson5910):
and there is only one term, so it's a monomial
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OpenStudy (lopus):
wowww is 4 x^2 y^1 z^1
OpenStudy (lopus):
great
OpenStudy (anonymous):
thank you! I have one more 2x^3y + y^2x – 3x + 4
jimthompson5910 (jim_thompson5910):
what did you get
OpenStudy (lopus):
What do you suggest?
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OpenStudy (anonymous):
degree is 2
term is 3
OpenStudy (lopus):
no
OpenStudy (lopus):
x^3 y^1
OpenStudy (anonymous):
term is 2
degree is 3?
jimthompson5910 (jim_thompson5910):
add up the exponents for each monomial
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jimthompson5910 (jim_thompson5910):
the largest sum is the degree
OpenStudy (lopus):
degree is 3 + 1
OpenStudy (anonymous):
degree is 4
OpenStudy (lopus):
terms : |2x^3y | + | y^2x | – |3x |+ | 4| tell me
OpenStudy (anonymous):
4 terms
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OpenStudy (anonymous):
am I right?
jimthompson5910 (jim_thompson5910):
degree = 4
# of terms = 4
yep both are correct, so it's a 4th degree polynomial
OpenStudy (anonymous):
thank you so much!
jimthompson5910 (jim_thompson5910):
np