## Announcements

WebWork schedule:

• Rational Expressions-Complex Fractions 2 – due Fri March 22 (Sec 1.3.4)
• Radical Expressions-Adding and Subtracting – due Fri March 22 (Sec 1.4.4)
• Radical Expressions-Multiplying – due Mon March 25 (Sec 1.4.4)

## Topics

We continued studying “radical expressions”–we briefly discussed “higher roots” (such as cube roots, fourth roots, etc.) and now these can be expressed as “rational exponents”:

We then revisited factoring a quadratic polynomial, and how we can use a factorization to solve a quadratic equation. We can also solve such a quadratic equation using the quadratic formula (which involves a square root):

But for a quadratic polynomial that doesn’t factor, we need to use the quadratic formula–and then we usually can simplify the square root involved, using the techniques we have been studying:

We also looked at the graphs of these quadratic polynomials in Desmos, and noticed how the solutions of the quadratic equation correspond to the x-intercepts of the graph.

We finished by going through some more WebWork exercises on adding/subtracting and then multiplying square roots:

Note that exercises above involve the distributive property and FOIL.