AbhiSK17 AbhiSK17

25-03-2020
Mathematics

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If (x+2) is a factor of 2x 3 + 5x 2 – x-k, then value of k is
(a) 6
(b) – 24
(C)-6 (d) 24
11

Respuesta :

afzbyjus afzbyjus

25-03-2020

Answer:

k = 6

Step-by-step explanation:

Solution:

p(x) = 2x^3 + 5x^2 - x - k

x + 2 = 0

x = -2

p(-2) = 2(-2)^3 + 5(-2)^2 - (-2) - k

0 = -16 + 20 + 2 - k

0 = 6 - k

Therefore, k = 6

OPTION (a) 6

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