ALG 2 HW quiz 12/12

divide
 $8x^2+34x-1$  
by
 $4x-1$  

•  $2x+9\ r\left(8\right)$  

•  $2x+9$  

•  $2x+17$  

•  $8x+32\ r\left(7\right)$  

divide
 $x^3-4x+6$  
by
 $x+3$  

•  $x^2-3x+5\ r\left(-9\right)$  

•  $x^2+3x+5\ r\left(21\right)$  

•  $x^3-3x^2+5x-9$  

•  $x^2-7x+28$  

given that
 $x+10$  
is a factor of 
 $f\left(x\right)=x^3+18x^2+95x+150$  
factor f(x) completly 

•  $\left(x+3\right)\left(x+5\right)\left(x+10\right)$  

•  $\left(x+5\right)\left(x+3\right)$  

•  $-10,\ -5,\ -3$  

•  $x^2+8x+15$  

 given that $-4$ is a zero of
 $3x^3+34x^2+72x-64$  
find the other zeros

•  $-8,\ \frac{2}{3}$  

•  $\left(-8,\frac{2}{3}\right)$  

•  $3x^2+46x+256\ r\left(960\right)$  

•  $3x^2+22x-16$  

list all the possible rational zeros of the function using the rational zero theorem
 $f\left(x\right)=3x^4+5x^3-3x+42$ 

•  $\pm1,\ 2,\ 3,\ 6,\ 7,\ 14,\ 21,\ 42,$  
  
   $\frac{1}{3},\ \frac{2}{3},\ \frac{7}{3},\ \frac{14}{3}$  

•  $\pm1,\ 2,\ 3,\ 6,\ 7,\ 14,\ 21,\ 42$  

•  $\pm1,\ 3$  

•  $\frac{1}{3},\ \frac{2}{3},\ \frac{7}{3},\ \frac{14}{3}$  

find all the real zeros of the function $h\left(x\right)=x^3+8x^2-9x-72$  

•  $-8,\ -3,\ 3$  

•  $-8,\ -3$  

•  $\left(-8,\ -3\right)$  

•  $-8,\ 9$  

find all the zeros:
 $x^4+15x^2-16$  

•  $-1,\ 1,\ 4i,\ -4i$  

•  $4$  

•  $-1,\ 1$  

•  $\left(-1,\ 1\right)$  

write a polynomial function that has the given zeros:
 $-1,\ 2,\ -3i$  

•  $x^4-x^3+7x^2-9x-18$  

•  $x^3-2x^2-5x+6$  

•  $\left(x-1\right)\left(x+2\right)\left(x-3\right)$  

•  $x^4-x^3-5x^2+3x+6$  

graph:
 $f\left(x\right)=0.2\left(x-4\right)^2\left(x+1\right)^2$  

• 
• 
• 
• 

Use a graphing calculator to graph the polynomial function.

 Identify all local maximums:

 $g\left(x\right)=x^4-3x^2+x$  

•  $\left(0.17,0.08\right)$  

•  $\left(-1.3,-3.5\right),\left(0.17,\ 0.08\right),\left(1.1,-1.07\right)$  

•  $-1.879,\ 0,\ 0.347,\ 1.532$  

•  $\left(-1.3,-3.5\right),\left(1.13,-1.07\right)$