Links

• WebWork: https://mathww.citytech.cuny.edu/webwork2/MAT1275-S24-Ganguli-D225
• The following 3 WebWork sets are due Friday evening (Feb 9)
  • Expressions-Arithmetic-Order of Operations
  • Expressions-Arithmetic-Introduction to Expressions
  • Expressions-Arithmetic-Integer Exponents

Topics

• We continued with Sec 1.2: Polynomials (in particular Sec 1.2.1 and Sec 1.2.2)

First we did a couple more examples from the “Integer Exponents” WebWork:

We introduced polynomials of various degrees:

Polynomials are degree 1 are simply “linear expressions,” i.e., expressions of the form Ax + B; an example from “Linear Expressions” WebWork:

Previewing how we will solve quadratic equations using the quadratic formula:

We looked at the graph of the quadratic polynomial above in Desmos, and noted how the solutions of the corresponding quadratic equation give the x-intercepts of the parabola. See: https://www.desmos.com/calculator/mutsgaaxwe

Multiplying polynomials–in particular, using “FOIL” to multiply two (linear) “binomial” expressions:

Another example from “Multiply Polynomials”:

Links

• WebWork: https://mathww.citytech.cuny.edu/webwork2/MAT1275-S24-Ganguli-D225
• LibreTexts online textbook: https://math.libretexts.org/Courses/City_University_of_New_York/College_Algebra_and_Trigonometry-_Expressions_Equations_and_Graphs

Topics

• Finished Sec 1.1.4: Integer Exponents
• Started Sec 1.2: Polynomials (in particular Sec 1.2.1 and Sec 1.2.2)

Example from “Order of Operations”:

We extended this example to write the equation of a line passing through the two given points (a topic we will cover later in the semester):

Examples from “Integer Exponents”:

Example from “Evaluate Add Subtract Polynomials”: