Question

find the values of m and n and so that X raise to power 4 + m x cube + n x square - 3 x + 1 is divisible by x square - 1 plaese answer .
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Answer 1

Answer:

x² -1=0

x²=1

x=root1

x=±1

given equation,

4+mx³+nx²-3x+1

=mx³+nx²-3x+5

put x=1,

=m(1)³+m(1)²-3(1)+5

=m+n-3+5

=m+n+2

m+n=-2...(1)

n=-2m

put in (1)

m-2m=-2

-m =-2

m=2

put in(1)

2+n=-2

n=-4

m=2,n=-4