Polynomial Mixed Review

x= 1, 10, 3

x= -1, 10, 3

x= 1, -10, 3

x= 1, -13, 30

 $\left(x+4\right)$  

 $\left(x-4\right)$  

 $\left(x-3\right)$  

 $\left(x+1\right)$  

 $\left(x-2\right)$  

 $f\left(x\right)=\left(x-1\right)\left(x+3\right)\left(x+7\right)$  

 $f\left(x\right)=\left(x+1\right)\left(x+3\right)\left(x+7\right)$  

 $f\left(x\right)=\left(x+3\right)\left(x+7\right)$  

 $x=\ -1,\ -3,\ -7$  

 $x=\ 1,\ 3,\ 7$  

zeros

y-intercept

maximum

minimum

-∞

-∞

+∞

-∞

-∞

+∞

+∞

+∞

There is not an absolute minimum

(-4,-1.5)

(-1.5,-4)

∞

(-∞, ∞)

[7, ∞)

(-∞, 7]

[-1, 1]

$x=2.55,\ -2.55$

$x=\ -3,\ -2,\ 2,\ 3$

$x=36$

$x=2,\ 3$

$f\left(x\right)=-\left(x+3\right)\left(x-2\right)\left(x-8\right)$

$f\left(x\right)=\left(x-3\right)\left(x+2\right)\left(x+8\right)$

$f\left(x\right)=-\left(x+3\right)^2\left(x-2\right)^2\left(x-8\right)^3$

 $f\left(x\right)=-x\left(x+4\right)\left(x-3\right)$ 

 $f\left(x\right)=x\left(x+4\right)\left(x-3\right)^2$ 

 $f\left(x\right)=x\left(x-4\right)\left(x+3\right)$ 

 $f\left(x\right)=\left(x+4\right)\left(x-3\right)^2$  

$f\left(x\right)=\left(x-2\right)\left(x+5\right)\left(x-3i\right)\left(x+3i\right)$

$f\left(x\right)=\left(x-2\right)\left(x+5\right)\left(x-3i\right)$

$f\left(x\right)=\left(x+2\right)\left(x-5\right)\left(x+3i\right)$

$f\left(x\right)=\left(x+2\right)\left(x-5\right)\left(x+3i\right)\left(x-3i\right)$

 $f\left(x\right)=x\left(x-3\right)\left(x+\sqrt{5}\right)$  

 $f\left(x\right)=x\left(x+3\right)\left(x-\sqrt{5}\right)\left(x+\sqrt{5}\right)$  

 $f\left(x\right)=\left(x+3\right)\left(x+\sqrt{5}\right)\left(x-\sqrt{5}\right)$