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When polynomial mx³3x²+nx+2 is divided by x+3, the remainder is 1. When it is divided by x2, the remainder is 4. Determine the values of 'm' and 'n'.
 one year ago
 one year ago
When polynomial mx³3x²+nx+2 is divided by x+3, the remainder is 1. When it is divided by x2, the remainder is 4. Determine the values of 'm' and 'n'.
 one year ago
 one year ago

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helder_edwinBest ResponseYou've already chosen the best response.0
use synthetic division
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
are you familiar with the remainder theorem?
 one year ago

helder_edwinBest ResponseYou've already chosen the best response.0
that's better. sorry
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
dw:1347327495204:dw
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
and yes i am familiar with the remainder theorem, am i doing this right so far ?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
now...just add 1 to both sides...to get something fun
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
dw:1347327616779:dw
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
right to..add 4 to both sides there
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
dw:1347327802473:dw
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
now i dont know what to do next
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
yes. now simplify those
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
27m 3n  24 = 0 everything is divisible by 3
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
8m + 2n  6 = 0 everything is divisible by 2
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
dw:1347327965579:dw
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
9m  n  8 = 0 4m + n  3 = 0 now you can do system of linear eqn
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
i can let is equal any number right ?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
yes. you can also do elimination
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
let m=1 9(1)n8=0 9n8=0 n=9+8 n=17 subst. n=17 in 2nd equation 4m+173=0 4m+14=0 m= 7/2
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
that's an unorthodox method...
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
where did you learn that?
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
i dont know, i think im confusing it with something else
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
it's the plotting of points method...it doesn't work here lol
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
anyway... 9m  n  8 = 0 4m + n  3 = 0 try adding the equations...what do you get?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.3
right. so there you go
 one year ago

burhan101Best ResponseYou've already chosen the best response.1
thank you so much ! :)
 one year ago
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