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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
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use synthetic division
are you familiar with the remainder theorem?
that's better. sorry

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Other answers:

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

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