AM-99

Remainder and factor theorems

A Math · Secondary 3 · Hard · Remainder and factor theorems

The function is

f(x)=x^4+bx^3-10x+c

, where

b

and

c

are constants. It is given that

f(-1)=0

and that the remainder when

f(x)

is divided by

x

-6

. What is the value of

b

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