Question

If x+2 is a factor of the polynomial 5x^3+(k+2)x^2_3kx+2 then find the value of k

Answer 1

Answer:

$k = 3$

Step-by-step explanation:

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

$x + 2 = 0$

$x = - 2$

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

$- 40 + 4k + 8 + 6k + 2=0$

$- 30 + 10k = 0$

$k = \frac{ - 30}{ - 10}$

$k = 3$

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Answer 2

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