HKDSE-MATH - 2021 - Paper 1 -

Ans: (a) $-67$ (c) No

1. By the division algorithm, we have

   $p(x

Ans: B

$\begin{array}{rcl}
a(x+3)+b(3x+1) & \equiv

Ans: B

Let $p(x) = (x^2-1)Q(x) +(ax+b)$, where $Q(x)$ is a po

Ans: (a) $a=-15$, $b=29$ (b) Yes (c) No

1. By the division algor

Ans: A

$\begin{array}{rcl}
(x+3)^2+mx & \equiv 

Ans: D

Since $g(x)$ is divisible by $x+2a$, we have

$\begin{

Ans: (a) $3x+4$ (b) $2$

1. Let $px+q$ be the quotient, where $p$

Ans: A

$\begin{array}{rcl}
(x+2)(x+c)+12 & \equiv &

Ans: A

Since $h(x)$ is divisible by $2x-3$, we have

$\begin{