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if x-3 is a factor of x3+4x2+kx-30.Find the value of k.​

Sagot :

Answer:

k=-11

Step-by-step explanation:

[tex]x^{3}+4x^{2}+kx-30[/tex]

if [tex]x-3[/tex] is a factor,

[tex](3)^{3}+4(3)^{2}+k(3)-30=0\\27+4*9+3k-30=0\\27+36+3k-30=0\\33+3k=0\\3k=-33\\k=-11[/tex]