anonymous
  • anonymous
When polynomial mx³-3x²+nx+2 is divided by x+3, the remainder is -1. When it is divided by x-2, the remainder is -4. Determine the values of 'm' and 'n'.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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helder_edwin
  • helder_edwin
use synthetic division
lgbasallote
  • lgbasallote
are you familiar with the remainder theorem?
helder_edwin
  • helder_edwin
that's better. sorry

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More answers

anonymous
  • anonymous
|dw:1347327495204:dw|
anonymous
  • anonymous
and yes i am familiar with the remainder theorem, am i doing this right so far ?
lgbasallote
  • lgbasallote
yup
lgbasallote
  • lgbasallote
now...just add 1 to both sides...to get something fun
anonymous
  • anonymous
|dw:1347327616779:dw|
lgbasallote
  • lgbasallote
right to..add 4 to both sides there
lgbasallote
  • lgbasallote
too*
anonymous
  • anonymous
|dw:1347327802473:dw|
anonymous
  • anonymous
now i dont know what to do next
lgbasallote
  • lgbasallote
yes. now simplify those
lgbasallote
  • lgbasallote
-27m -3n - 24 = 0 everything is divisible by 3
lgbasallote
  • lgbasallote
8m + 2n - 6 = 0 everything is divisible by 2
anonymous
  • anonymous
|dw:1347327965579:dw|
anonymous
  • anonymous
like that ?
anonymous
  • anonymous
or with the coeff
lgbasallote
  • lgbasallote
right
lgbasallote
  • lgbasallote
-9m - n - 8 = 0 4m + n - 3 = 0 now you can do system of linear eqn
anonymous
  • anonymous
i can let is equal any number right ?
lgbasallote
  • lgbasallote
yes. you can also do elimination
anonymous
  • anonymous
let m=1 -9(1)-n-8=0 -9-n-8=0 -n=9+8 n=17 subst. n=17 in 2nd equation 4m+17-3=0 4m+14=0 m= -7/2
lgbasallote
  • lgbasallote
that's an unorthodox method...
lgbasallote
  • lgbasallote
where did you learn that?
anonymous
  • anonymous
i dont know, i think im confusing it with something else
lgbasallote
  • lgbasallote
it's the plotting of points method...it doesn't work here lol
anonymous
  • anonymous
oh woops !
lgbasallote
  • lgbasallote
anyway... -9m - n - 8 = 0 4m + n - 3 = 0 try adding the equations...what do you get?
anonymous
  • anonymous
m= -11/5
anonymous
  • anonymous
and now subst
lgbasallote
  • lgbasallote
right
anonymous
  • anonymous
n=29/5
lgbasallote
  • lgbasallote
right. so there you go
anonymous
  • anonymous
thank you so much ! :)
lgbasallote
  • lgbasallote
welcome

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