Question

if 2 x + 1 is a factor of the polynomial 4 x square minus kx + k then find the value of k​

Answer 1

Answer:

k = -2/3

Step-by-step explanation:

$let \: 2x + 1 = 0 \\ x = - \frac{1}{2} \\ as \: 2x + 1 \: is \: a \: factor of \: p(x) \: = 4 {x}^{2} - kx + k \\ p( - \frac{1}{2} ) = 0 \\ 4 {( - \frac{1}{2}) }^{2} - k( - \frac{1}{2}) + k = 0 \\ 1 + \frac{k}{2} + k = 0 \\ k = \frac{ - 2}{3}$

Answer 2

Answer:

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Step-by-step explanation:

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