akbusinessmsk akbusinessmsk
  • 08-12-2021
  • Mathematics
contestada

When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4, then what is the remainder when divide 2f(x)-6 by (x+3)?​

Respuesta :

mhanifa
mhanifa mhanifa
  • 08-12-2021

Answer:

  • 2

Step-by-step explanation:

When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4:

  • f(x) = m*(x + 3) + 4, where m is the quotient

Then 2f(x) - 6 is:

  • 2[m(x + 3) + 4] - 6 =
  • 2m(x + 3) + 8 - 6 =
  • 2m(x + 3) + 2

As we see the remainder is 2

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