Consider the following expression:
m^3+3m^2-2m+24
____________________
m^2-5+5
Divide the polynomial in the numerator by the trinomial in the denomiator
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OpenStudy (anonymous):
m + 3 -2/m + 24/m²
OpenStudy (anonymous):
m+3-2
________
m+24m^2??????????
OpenStudy (anonymous):
should not the trinomial be m^2-5m+5 ?
OpenStudy (anonymous):
not for sure.... do you know for sure???
OpenStudy (anonymous):
well i'm pretty sure - what u wrote is not a trinomial
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OpenStudy (anonymous):
How is it supposed to be wrote???
OpenStudy (anonymous):
it is a term in m^2 , a term in m and a number
m^2-5+5 = m^2
thats why i suggested that the middle term should be 5m - maybe you made a typo
m^2-5m+5 ) m^3+3m^2-2m+24
OpenStudy (anonymous):
the denominator is m^2-m+5..... sorry
OpenStudy (anonymous):
oh ok - thats alright
OpenStudy (anonymous):
division gives m + 4 with a remainder of -3m + 4
)
which can be written as m + 1 + (4 - 3m) / (m^2-m+5)
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OpenStudy (anonymous):
correction - the last line is m + 4 + (4 - 3m) / (m^2-m+5)