Unit 3 Test #1 Review

Factor and solve

 $4x^3-x^2-4x+1=0$  

• Factors to  $\left(4x-1\right)\left(x-1\right)\left(x+1\right)=0$  
  Roots:  $\left\{\frac{1}{4},\ 1,\ -1\right\}$  

• Factors to  $\left(4x-1\right)\left(x-1\right)\left(x+1\right)=0$  
  Roots:  $\left\{\frac{1}{4},\ -1,\ -3\right\}$  

• Factors to  $\left(4x-1\right)\left(x+1\right)^2=0$  
  Roots:  $\left\{\frac{1}{4},\ -1\ \right\}$  

• Factors to  $\left(6x-1\right)\left(x+1\right)^2=0$  
  Roots:  $\left\{\frac{1}{6},\ -1\right\}$  

Tags

CCSS.HSF-IF.C.7C

Factor and solve

 $3x^3+11x^2+6x=0$  

• Factors to  $3x\left(3x+2\right)\left(x+1\right)=0$  
  Roots:  $\left\{0,\ -\frac{2}{3},\ -1\right\}$  

• Factors to  $x\left(3x+4\right)\left(x+3\right)=0$  
  Roots:  $\left\{0,\ -\frac{4}{3},\ -3\right\}$  

• Factors to  $x\left(3x+2\right)\left(x+3\right)=0$  
  Roots:  $\left\{0,\ -\frac{2}{3},\ -3\right\}$  

• Factors to  $x\left(3x+2\right)\left(x+3\right)=0$  
  Roots:  $\left\{0,\ -1,\ -3\right\}$  

Tags

CCSS.HSF-IF.C.7C

Select the graph of the function

 $f\left(x\right)=-x^3+2x^2-3$  

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Select the graph of the function  $f\left(x\right)=x^4-3x^2+3x+3$  

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What are the x-intercepts of the function

 $f\left(x\right)=x^3+9x^2+24x+19$  

•  $\left(3.3,0\right)$  

•  $\left(0,0\right),\ \left(2,0\right)$  

•  $\left(-0.9,\right),\ \left(1.3,0\right),\ \left(2.5,0\right)$  

•  $\left(-4.9,0\right),\ \left(-2.7,0\right),\ \left(-1.5,0\right)$  

Tags

CCSS.HSF-IF.C.7C

What are the x-intercepts of the function

 $f\left(x\right)=x^4-4x^2-3x+1$  

•  $\left(2.3,0\right),\ \ \left(0.3,0\right)$  

•  $\left(-2.2,0\right),\ \left(-0.6,0\right)$  

•  $\left(-1.3,0\right),\ \left(1.7,0\right)$  

• None

Tags

CCSS.HSA.APR.B.3

What is the y-intercept of the following function? Write your answer as an ordered pair without spaces between characters.

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

What is the y-intercept of the following function? Write your answer as an ordered pair without spaces between characters.

 $f\left(x\right)=-x^3-7x^2-15x-12$  

Tags

CCSS.HSF-IF.C.7C

What are the coordinates of the relative minimum(s)

 $f\left(x\right)=x^4-2x^2+x+2$  

•  $\left(0,-5\right)$  

•  $\left(-1.1,-0.1\right),\ \left(0.8,\ 1.9\right)$  

•  $\left(-0.8,\ 3.9\right),\ \left(1.1,\ 1.9\right)$  

•  $\left(-1.1,\ -4.1\right),\ \left(1.3,\ -6.5\right)$  

What are the coordinates of the relative minimum(s)

 $f\left(x\right)=x^3-5x^2+7x$  

•  $\left(-3.3,\ -4.5\right)$  

•  $\left(0,-4\right)$  

•  $\left(0,-1\right)$  

•  $\left(2.3,\ 1.8\right)$