Sketch the graph of \(y=x^2-6x+5\).

Graph \(y=-x^2-2x+3\)

Graph \(y=3x^2-6x+1\)

Graph \(y=-2x^2+6x-5\)

A company selling copies of an accounting program finds that it will make a weekly profit \(P\) dollars from selling \(x\) copies according to the equation \[P(x)=-0.1x^2+27x-500.\] How many copies should it sell to make the largest possible profit and what is the largest possible profit?

An art supply store can sell \(x\) sketch pads each week at \(p\) dollars, according to the equation \(x=900-300p\). Graph the revenue equation \(R=xp\). Then use the graph to find the price \(p\) that will bring in the maximum revenue. Find the maximum revenue.

At the \(1997\) Washington County Fair in Oregon. David Smith, Jr., The Bullet, was shot from a cannon. He reached a height of \(70\) feet before landing in a net \(160\) feet from the cannon. Sketch the graph of his path, and then find the equation of the graph.

Divide \(\displaystyle\frac{10x^5-15x^4+20x^3}{5x^2}\)

Divide \(\dfrac{8x^3y^5-16x^2y^2+4x^4y^3}{-2x^2y}\)

Divide \(\displaystyle\frac{10a^4b^2+8ab^3-12a^3b+6ab}{4a^2b^2}\)

Divide \(\displaystyle\frac{x^2-6xy-7y^2}{x+y}\)

Divide \(\displaystyle\frac{2x^2-7x+9}{x-2}\)

\(2x-4\overline{\smash{)}4x^3-6x-11}\)

Divide \(\displaystyle\frac{x^2-6xy-7y^2}{x+y}\)

Factor \(x^3+9x^2+26x+24\) if \(x+2\) is a factor.

Divide \(x^4-2x^3+4x^2-6x+2\) by \(x-2\).

Divide: \(\dfrac{3x^3-4x+5}{x+4}\)

Divide: \(\dfrac{x^3-1}{x-1}\)

Graph \(f(x)=\displaystyle\frac{6}{x-2}\)

Graph \(g(x)=\displaystyle\frac{6}{x+2}\)

Additional Problems and Explanations

Graph \(y=\displaystyle\frac{x-4}{x-2}\)