devide polynomial p(X) = 3x⁴+3x³-2x²-9x-2 by x²-1, and find what should be subtracted from p(X) so that is divisible by q(X).
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Answer:
you can substract -7 or 5 from p(x)
Explanation:
let,p(x)=3x⁴+3x³-2x²-9x-2
g(x)=x²-1 => if g(x)=0 then x=+1 or -1
if we divide p(x) by g(x) then remainder=p(1) or p(-1)
p(1)=3+3-2-9-2= -7 !=0
p(-1)=3-3-2+9-2=5 !=0
so if we substract the remainders i.e -7 or 5 then p(x) will be divisible by g(x)...
after substracting you can apply long division method to get quoitent q(x)
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