Learning Task 3 A Answer the $fo1os$ $ng$ 1. What is the remainder when $2x^{10+7x^{5}}$ $-5is$ divided $byx-17$ $2$ What is the remainder $x^{2+8x+12}$ when divided $o5$ $x-27$ $3$ What are the factors of $x^{2+8x}=127$ $4$ If the remainder of the $x^{3-kox^{2+3x-2}}$ when divided by $x-$ $1$ $5$ $-$ 4, find the value of k.

$-x^{3+2\right)+\left(x+2\right)}$ 1. $\left(x^{4-x}$ $2$ $\left(x^{3-2x^{2+x+6}}\right)$ $+\left(x-3\right)$ $3$ $\left(x^{4}$ $-3x^{3+4x^{2-6x+4\right)+\left(x-2\right)}}$ $4$ $\left(x^{4}-16x^{3+18x^{2-128}}\right)+\left(x+2\right)$ $5$ $\left(3x^{2+5x^{3}}-8\right)+\left(x-4\right)$

4. Solve the following equations: (i) $\dfrac {x} {7}=$ $\dfrac {2} {25-6x}$ (ii) $\dfrac {3} {x-1}+\dfrac {2x} {x+1}=2\dfrac {3} {5}$ $\left(ii1\right)$ $\dfrac {1} {x+1}+\dfrac {2} {x+3}=\dfrac {7} {4x}$ (iv) $\dfrac {4x-8} {x}$ $\dfrac {8} {3x-3}$ $=0$ $\dfrac {2} {x+1}+\dfrac {3} {x+2}=\dfrac {17} {6x}$ $\left(oi\right)$ $\dfrac {2} {x}+\dfrac {4} {x+2}=\dfrac {7} {6}$ $\left(oii\right)$ $\dfrac {x-3} {x-2}$ $\dfrac {x-2} {x}\dfrac {=1} {15}$ $\left(oii\right)$ $\sqrt{\dfrac {x} {x-5}} +\sqrt{\dfrac {x-5} {x}} =2\dfrac {1} {6}$ $\left(ix\right)$ $\sqrt{\dfrac {x} {3}} +6\sqrt{\dfrac {3} {x}} =5$

Learning Task $1.$ $1acmt111y$ given equation is a polynomial equation or not. Write P if polynomial equation and $N$ NP if not. $1.3x^{4+5x-3}=0$ $2.2x^{4+2x^{3-6x+12}}=0$ $-$ $3.x^{3-6x-2.-x-1}=0$

$1.$ Nilai $X$ yang memenuhi persamaan $\dfrac {x^{2}-x+3} {x+2}$ $=$ $\dfrac {2x+1} {3}$ adalah... atau.... $2.$ Himpunan penyelesaian dari pertidaksamaan $\dfrac {3x+4} {x-1}>2$ adalah.... $3.$ Bilangan real $X$ yang memenuhi pertidaksamaan $\dfrac {4x-5} {x}<x-2$ adalah.... $4$ Nilai $X$ yang memenuhi pertidaksamaan $\dfrac {\left(x-1\right)\left(2x-3\right)} {x^{2}+9}\leq 1$ adalah.... $5.$ Nilai $X$ $y$ yang memenuhi pertidaksamaan $\dfrac {x^{2}-x-4} {2x^{2}+6x}\geq \dfrac {1} {x+3}$ adalah....

Activity $23$ Determine the domain and range of the $o11oss$ $n$ $1$ $f\left(x\right)=\left(3-2x\right)$ $2$ $f\left(x\right)=loglog\left(x\right)-5$ $3$ $f\left(x\right)=\left(x+2\right)+4$ $4$ $f\left(x\right)=\left(x+1\right)-2$ $5$ $f\left(x\right)=\left(4-7x\right)$