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 2 years 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'.
 2 years 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'.

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helder_edwin
 2 years ago
Best ResponseYou've already chosen the best response.0use synthetic division

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3are you familiar with the remainder theorem?

helder_edwin
 2 years ago
Best ResponseYou've already chosen the best response.0that's better. sorry

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1347327495204:dw

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1and yes i am familiar with the remainder theorem, am i doing this right so far ?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3now...just add 1 to both sides...to get something fun

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1347327616779:dw

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3right to..add 4 to both sides there

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1347327802473:dw

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1now i dont know what to do next

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3yes. now simplify those

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.327m 3n  24 = 0 everything is divisible by 3

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.38m + 2n  6 = 0 everything is divisible by 2

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1347327965579:dw

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.39m  n  8 = 0 4m + n  3 = 0 now you can do system of linear eqn

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1i can let is equal any number right ?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3yes. you can also do elimination

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1let 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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3that's an unorthodox method...

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3where did you learn that?

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1i dont know, i think im confusing it with something else

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3it's the plotting of points method...it doesn't work here lol

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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.3right. so there you go

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.1thank you so much ! :)
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