tmua 2018 Q5

tmua · Uk · paper1 1 marks Factor & Remainder Theorem Remainder by Linear Divisor

The function f is defined by $\mathrm { f } ( x ) = x ^ { 3 } + a x ^ { 2 } + b x + c$.
$a , b$ and $c$ take the values 1,2 and 3 with no two of them being equal and not necessarily in this order.
The remainder when $\mathrm { f } ( x )$ is divided by ( $x + 2$ ) is $R$.
The remainder when $\mathrm { f } ( x )$ is divided by ( $x + 3$ ) is $S$.
What is the largest possible value of $R - S$ ?
A - 26
B 5
C 7
D 17
E 29

..... 7

The function f is defined by $\mathrm { f } ( x ) = x ^ { 3 } + a x ^ { 2 } + b x + c$.

$a , b$ and $c$ take the values 1,2 and 3 with no two of them being equal and not necessarily in this order.

The remainder when $\mathrm { f } ( x )$ is divided by ( $x + 2$ ) is $R$.

The remainder when $\mathrm { f } ( x )$ is divided by ( $x + 3$ ) is $S$.

What is the largest possible value of $R - S$ ?

A - 26

B 5

C 7

D 17

E 29

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20