Mathematics
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OpenStudy (jessicawade):
binomial expansion help!!!
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OpenStudy (jessicawade):
the term 35x^3y^4 is term in which binomial expansion
jimthompson5910 (jim_thompson5910):
list out your choices
OpenStudy (jessicawade):
ok
OpenStudy (jessicawade):
a. (x+y)^12
b. (x+y)^6
c. (7x+5y)^7
d.(x+y)^7
jimthompson5910 (jim_thompson5910):
ok I see what they want
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jimthompson5910 (jim_thompson5910):
notice the exponents for 35x^3y^4 are 3 and 4
jimthompson5910 (jim_thompson5910):
the exponents add to 3+4 = 7
so the degree of this polynomial is 7
OpenStudy (jessicawade):
yes
jimthompson5910 (jim_thompson5910):
meaning that the overall outer exponent has to be a 7
OpenStudy (jessicawade):
oh.
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jimthompson5910 (jim_thompson5910):
so the answer is either c. (7x+5y)^7 or d.(x+y)^7
OpenStudy (jessicawade):
yes. im wondering if it is c because 7x5 is 35
jimthompson5910 (jim_thompson5910):
do you have pascals triangle with you?
OpenStudy (jessicawade):
no should i print one out? thats probably why i am confused they ddint have it in my lesson
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jimthompson5910 (jim_thompson5910):
look in the row that starts with 1, 7, etc
jimthompson5910 (jim_thompson5910):
35x^3y^4 is the 4th term
what is the fourth number in that row?
OpenStudy (jessicawade):
ok
OpenStudy (jessicawade):
35
jimthompson5910 (jim_thompson5910):
what is the fourth number in the row 1, 7, ....
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jimthompson5910 (jim_thompson5910):
yes
jimthompson5910 (jim_thompson5910):
so if the answer was choice C, then we'd have
35*(7x)^3*(5y)^4 = 7,503,125x^3y^4
that result is way too big
jimthompson5910 (jim_thompson5910):
choice C is out
OpenStudy (jessicawade):
so its D?
jimthompson5910 (jim_thompson5910):
correct
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OpenStudy (jessicawade):
wow. lol that was pretty easy
jimthompson5910 (jim_thompson5910):
yeah it's easier with the triangle
OpenStudy (jessicawade):
like the z-scores haha
OpenStudy (jessicawade):
thansk :)
jimthompson5910 (jim_thompson5910):
you're welcome