Question

15. Find the value of K if x - 2 is a factor of x^3 + 2x^2 + ka +4.

a.-8

b.12

c.10

d.-10

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Answer 1

Answer:

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Answer 2

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● If x-2 is a factor of the given equation then x=2 must satisfy the equation.

So

By putting the value of x=2 then

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

$=> {2}^3 + 2{2}^2 + kx + 4 = 0$

$=> 8 + 2(4) + kx + 4 = 0$

$=> 8 + 8 + 4 + 2k = 0$

$=> 20 + 2k = 0$

$=> 2k = -20$

$=> k = -20/2$

$=> k = -10$