anonymous
  • anonymous
What is the remainder when (2x3 + 4x2 − 32x + 18) ÷ (x − 3)?
Mathematics
chestercat
  • chestercat
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campbell_st
  • campbell_st
use the remainder theorem if\[ P(x) = 2x^3 +4x^2 -32x + 18\] and the divisor is (x - 3) the remainder can be found by calculating P(3)
anonymous
  • anonymous
i got 2x2+10x
Nnesha
  • Nnesha
calculator is lying ;)

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campbell_st
  • campbell_st
not quite the remainder \[P(3) = 2(3)^3 + 4(3)^2 - 32(3) + 18\] what's the value...?
anonymous
  • anonymous
54+36-96+18
campbell_st
  • campbell_st
the answer you posted is part of the quotient you don't need to do the division is x - 3 is the divisor the value that makes it equal to zero, that is x = 3 can be substituted into the polynomial to find the remainder
campbell_st
  • campbell_st
that's great so what is the value... ?
anonymous
  • anonymous
12
anonymous
  • anonymous
is the remainder
marihelenh
  • marihelenh
The remainder is \[\frac{ 12 }{ x-3 }\]
anonymous
  • anonymous
Thanks<3
campbell_st
  • campbell_st
that's how I would write the remainder 12
anonymous
  • anonymous
|dw:1437509835325:dw|
anonymous
  • anonymous
Can you help solve this?
campbell_st
  • campbell_st
so you have a common denominator... just add the numerators.... by collecting like terms
campbell_st
  • campbell_st
|dw:1437509651709:dw|
anonymous
  • anonymous
so x+3/x+5
anonymous
  • anonymous
campbell_st
  • campbell_st
You might want to post this as a new question... that way lots of people can view it and offer help
anonymous
  • anonymous
KK as long as you're one of them, I'm fine

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