Question: This problem is about multiplying complex numbers. a. Show me how to multiply A=(1-2i)*(1+i) by using the distributive law. Then use geometry (and maybe some

 This problem is about multiplying complex numbers. a. Show me how

This problem is about multiplying complex numbers. a. Show me how to multiply A=(1-2i)*(1+i) by using the distributive law. Then use geometry (and maybe some trigonometry) to explain how you could know which quadrant A would be in without actually doing the multiplication out. (You will definitely find it helpful to graph 1+i and 1-2i in the complex plane.) b. Find a complex number w for which w*(1+i) is a negative integer. Explain your process, and show me a picture of the situation. C. Find a complex number z for which z^5 is in Quadrant II. Explain your process, and show me a picture of the situation

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