Question

if (x-2) is a factor of the polynomial p(x) = x3 -5x2 + kx + 4, then find the value of k

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$(x - 2) \: is \: a \: factor \: of \: the \: polynomial \: p(x)$

$(x - 2) = 0$

$x = 2$

Putting the value of 2 in p(x)

${x}^{3} - {5x}^{2} + kx + 4 = 0$

${(2)}^{3} - 5 {(2)}^{2} + 2k + 4 = 0$

$8 - 20 + 2k + 4 = 0$

$- 12 + 2k + 4 = 0$

$- 8 + 2k = 0$

$2k = 8$

k = 8/2

k = 4

Ans. 4

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