# Homework Help!

1. Jan 15, 2010

### vvc531

1. The problem statement, all variables and given/known data

The question is: Factor and Plot the polar equation
r^2-r+(1/4)sin^2 4 theta

2. Relevant equations

N/A

3. The attempt at a solution

I have no idea how to do this.

2. Jan 15, 2010

### ideasrule

r^2-r+(1/4)sin^2 4 theta is not an equation because there's no equal sign. Is it supposed to equal 0? If so, do you know how to factor a quadratic equation?

3. Jan 15, 2010

### vvc531

yes it equals 0
how am i supposed to factor this?

4. Jan 15, 2010

### HallsofIvy

You can't. Are you sure it isn't $r^2- r(1/4)sin^2(4\theta)$?

5. Jan 15, 2010

### ideasrule

You can factor it. Does it make sense that if a and b are the roots of the equation, r^2-r+(1/4)sin^2 4 theta can be factored into A(r-a)(r-b)? You can find a and b using the quadratic formula. You won't get a numerical answer, but you will get an expression for a and b in terms of theta.