1/21 Alg2 Week Review

Week Review

Okay, but like. Only a 2 day review.

Tuesday

Learning Target: I can use complex numbers to factor a sum of squares. 

Factoring a difference of squares always results in (x + a)(x - a) *Sometimes there are additional coefficients!*

Factoring a sum of squares is only possible with complex numbers. Create a difference of squares using the imaginary unit, i. (x + ai)(x - ai) Factor out the GCF first!

Multiple Choice

Factor the difference of squares:

 $x^2-36$  

•  $\left(x+6\right)\left(x+6\right)$  
  

•  $\left(x+36\right)\left(x-1\right)$  

•  $\left(x-6\right)\left(x-6\right)$  

•  $\left(x+6\right)\left(x-6\right)$  

Multiple Choice

Factor the sum of squares:

 $x^2+36$  

•  $\left(x+6\right)\left(x-6\right)$  
  

•  $\left(x+6i\right)\left(x-6i\right)$  
  

•  $\left(6x+1\right)\left(x+36\right)$  

•  $\left(x+i\right)\left(x-i\right)$  

Wednesday

Learning Target: I can solve a quadratic equation with complex solutions.

Factor the quadratic equation and solve for the value of x from both factors that will make the equation equal to 0.

There will always be 2 values of x as your answer!

Multiple Choice

Solve the quadratic equation for x:

 $x^2-36=0$  

•  $x=6$  
  

•  $x=-6$  
  

•  $x=\pm6$  

•  $x=6i$  

Multiple Choice

Solve the quadratic equation for x:

 $x^2+36=0$  

•  $x=6$  
  

•  $x=-6$  
  

•  $x=\pm6$  

•  $x=\pm6i$  

Move to Google Classroom to complete your exit ticket. Have an awesome 3-day weekend! :)