domswrld215 domswrld215
  • 14-01-2022
  • Mathematics
contestada

The polynomial y = 2x3 + mx2
- 13x + n has a remainder of 0 when
divided by (x - 2) and (x - 3). Find the value of m + n:

Respuesta :

oguntoyinbojoseph10
oguntoyinbojoseph10 oguntoyinbojoseph10
  • 14-01-2022

Answer:

2x³ + mx² - 13x + n

y = x - 2

x = 2

2(2)³ + m(2)² - 13(2) + n = 0

16 + 4m - 26 + n = 0

4m + n = 10. (1)

y = x - 3

x = 3

therefore 9m + n = -15

solving simultaneously

m = -5, n = 30

m + n = 25

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