REVIEW of Solving Quadratic Equations (all sorts!)

REVIEW of Solving Quadratic Equations (all sorts!)

Multiple Choice

Which is the correct factorization for the following quadratic equation?

 $3x^2+13x+12=0$  

•  $\left(3x-4\right)\left(x-3\right)=0$  

•  $\left(3x+3\right)\left(x+4\right)=0$  

•  $\left(3x+2\right)\left(x+6\right)=0$  

•  $\left(3x+4\right)\left(x+3\right)=0$  

Multiple Select

Which of these are the solutions to the quadratic?  

CHECK ALL SOLUTIONS!

 $3x^2+13x+12=0$  

•  $3$  

•  $-3$  

•  $4$  

•  $-\frac{4}{3}$  

•  $\frac{4}{3}$  

Multiple Choice

What is the first step in solving this quadratic by the square root method?

 $5\left(x-2\right)^2=-25$  

• Distribute the 5

• Divide by 5

• Square root

• Add 2

Multiple Select

What are the solutions?  

CHECK ALL!

 $5\left(x-2\right)^2=-25$  

•  $2+\sqrt{5}$  

•  $2-\sqrt{5}$  

•  $2+i\sqrt{5}$  

•  $2-i\sqrt{5}$  
  

•  $-2+i\sqrt{5}$  

Fill in the Blanks

When completing the square, what is the value of "C" for this quadratic?

 $x^2-10x+C$  

Multiple Choice

Which of the following is THE QUADRATIC FORMULA:

• $x=-\frac{b}{2a}$

• $y=ax^2+bx+c$

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
  

• $\left(x-b\right)^2=c$

Multiple Choice

What is the BEST thing about quadratic formula?

• It has a great name

• There is nothing good about The Quadratic Formula

• It is made of magic!

• It will solve ANY quadratic equation with ANY type of solution.