Use this ZIMSEC O-Level Mathematics Paper 1 November 2006 marking scheme for checking answers, revision, and exam preparation in Zimbabwe.
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Questions: ZIMSEC O-Level Mathematics Paper 1 November 2006 Question Paper
This is the ZIMSEC O-Level Mathematics marking scheme for Paper 1 from November 2006. It shows how marks are awarded, so you can mark your own answers to the matching question paper. See the question paper.
(1)
Nov zoob/i morkany scheme
1. $f(-1)=0$
\[
\begin{aligned}
\Rightarrow | (-1)^{3}+p(-1)^{2}+q(-1)-81=0 | p-q-82=0
\end{aligned}
\]
\[
\begin{aligned}
f(3)= | 0
\Rightarrow | 3^{3}+p(3)^{2}+q(3)-81=0 | 9 p+3 q-54=0 \ldots
\end{aligned}
\]
Solving
\[
\begin{array}{c}
9(q+82)+3 q-54=0
9 q+738+3 q-54=0
12 q=-666
q=-57
\end{array}
\]
\[
\text { 2. } \begin{aligned}
q= | =-\frac{57}{p=} \frac{x^{2}+(x+3)^{2}-k^{2}}{2 x(x+3)}
\frac{x^{2}+x^{2}+6 x+9-k^{2}}{2 x^{2}+6 x} | =\frac{1}{2}
2 x^{2}+6 x+9-k^{2} | =\frac{1}{2}
x^{2}+3 x+9-k^{2} | =0
\end{aligned}
\]