Division and Polynomial Practice

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$  

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$  

$$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$  

$$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$  

$$x=-1$$  

$$x=3$$  

$$x=0$$  

$$x=4$$  

$$f\left(x\right)=x^4-2x$$  

$$f\left(x\right)=-x^3+1$$  

$$f\left(x\right)=-x^5-1$$  

$$f\left(x\right)=2x^2+1$$  

$$-4x^3-6x+7$$  

$$10x^3-6x+1$$  

$$-10x^3-6x+7$$  

$$-4x^3+2x+1$$  

$$-4x^3+2x+7$$  

$$3x^2+6x+10+\frac{24}{x-2}$$  

$$3x^2+4x+12$$  

$$3x^2+4+\frac{12}{x-2}$$  

$$3x^2-6x+10-\frac{16}{x-2}$$  

$$3x^2-8-\frac{12}{x-2}$$  

$$\left(8,-5\right)$$  

$$\left(-8,-5\right)$$  

$$\left(5,-8\right)$$  

$$\left(-5,-8\right)$$  

$$\left(-8,5\right)$$  

(a-b) $$\left(a^2+ab+b^2\right)$$  

(a+b) $$\left(a^2-ab+b^2\right)$$  

(a+b)(a-b)