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When x4 + kx3 – 2x2 + x + 4 is divided by x – 3, the remainder is 16. Find the value of k.

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VilesXviz
x⁴ + kx³ – 2x² + x + 4 is divided by x – 3

x = 3

16 = x⁴ + kx³ – 2x² + x + 4

if x⁴ + kx³ – 2x² + x + 4 

[tex]16= x^{4}+k x^{3}-2 x^{2} +x+4 [/tex]

[tex]16= 3^{4}+k 3^{3}-2 (3^{2}) +3+4 [/tex]

[tex]k=-2[/tex]