find k, if the polynomial p(x)=kx^3+9x^2+4x-10 divided by (x-3) leaves a remainder -22. pls fast
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Solution :-
p(x) = kx^3+4x^2+3x-4 , p(x) = x^3 -4x+k
ģiven p(3) = 0
p(3)=k(3)^3+4(3)^2+3.3-4=0 , p(3)=(3)^3-4.3+k=0
27k+36+9-4 =0 , 27 -12 +k =0
[ k = 41/27 ] ans , [ k = 15]ans
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