Announcements

WebWork schedule:

  • Rational Expressions-Complex Fractions 1 – due Mon March 18 (Sec 1.3.4)
  • Radical Expressions-Simplifying – due Mon March 18 (Sec 1.4.2)
  • Rational Expressions-Complex Fractions 2 – due Wed March 20 (Sec 1.3.4)

Topics

We reviewed an exercise from Exam #1, on factoring quadratic polynomials, and showed how we can use that to solve quadratic equations. We also previewed the quadratic formula, which used square roots–our next topic will be square roots and other “radical expressions.”

We also returned to rational expressions, to introduced “complex fractions” (a fraction that has fractions within its numerator and/or denominator):

Exercise from Exam #1, and using the factored polynomial to solve a quadratic equation:

We can also solve such quadratic equations using the quadratic formula–which we will cover in more depth in a few weeks. Note that the quadratic formula involves a square root:

We also looked at another factoring exercise from Exam #1, and looked an associated quadratic equation, which we can solve using the factoring, the quadratic formula–or in this case, we can solve it “directly”, using square roots:

Finally, we looked at complex fractions: