See here for help with polynomial long division. The quotient is . The remainder is

2) Solve the rational equation:

Multiply each term by the LCD of

But makes the denominator of the rational equation to be 0. So this solution is extraneous.

3) The line x = 3 is the axis of symmetry for the graph of a parabola. If the parabola contains the points (5, -3) and (-1,9), what is the equation for the parabola?

Vertex is (3,-7)

Vertex form of the parabola with V(h,k)

Substitute one of the points on the parabola (5, -3) and the vertex (3, -7)

Therefore the equation for the parabola is

or

[tex]