Question

find the value of k so that 2x+1 be a factors of x^4+4x^3-16x^2+10x+k​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

» f (x) = x⁴ + 4x³ - 16x² + 10x + k

Since, 2x + 1 is a factor, f (-1/2) = 0

» f (-1/2) = (-1/2)⁴ + 4 (-1/2)³ - 16 (-1/2)² + 10 (-1/2) + k

» 1/16 - 1/2 - 4 - 5 + k = 0

» (1 - 8)/16 - 9 + k = 0

» k = 9 + 7/16

» k = 151/16