emhoshko57 emhoshko57

18-03-2022
Mathematics

contestada

Find the value of k if the remainder is 13 when
25 + 4x4 + kx3 + x – 11 is divided by x + 3

Respuesta :

ganjilaya2019 ganjilaya2019

20-03-2022

Answer:

[tex]k = \frac{322}{27} [/tex]

Step-by-step explanation:

x + 3 = 0 → x = - 3

25 + 4(-3)⁴ + k(-3)³ + (-3) - 11 = 13

25 + 324 - 27k - 3 - 11 = 13

349 - 27k - 14 = 13

349 - 14 - 13 = 27k

349 - 27 = 27k

322 = 27k

k = 322/27

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