Review question

# Given three remainders, what is the function? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5248

## Question

A certain function of $x$ can be expressed in the form $a+b(x-1)+c(x-1)(x-2)+2(x-1)(x-2)(x-3),$ where $a$, $b$, $c$, are numerical. When the function is divided in turn by $x-1$, $x-2$, $x-3$ the remainders are $10$, $3$, $4$. Calculate the values of $a$, $b$, $c$.