Instructor: Suman Ganguli

Month: February 2024 (Page 2 of 4)

Class 6 Recap (Wed Feb 21)

Announcements

  • The college is on a Monday schedule on tomorrow (Thurs Feb 22), so we will have class tomorrow
  • WebWork schedule:
    • Polynomials-Powers of Monomials and Binomials – due Wed Feb 21 (tonight)
    • Polynomials-GCF and Factor by Grouping – due Fri Feb 23 (Sec 1.2.6)
    • Polynomials-Factor Trinomials AC Method – due Tues Feb 27 (Sec 1.2.7)

Topics

We reviewed Quiz #1:

We did some WebWork exercises on “factoring by grouping” (Sec 1.2.6):

We revisited the exercises above the quiz and “reversed” them–we factored the resulting quadratics by factoring by grouping:

We then introduced the “ac-method” for factoring quadratic polynomials (ax^2 + bx + c), by first looking at the simpler case when a=1:

See Examples 1.2.7.1 and 1.2.7.4 in Sec 1.2.7.

Class 5 Recap (Wed Feb 13)

Links

  • WebWork: https://mathww.citytech.cuny.edu/webwork2/MAT1275-S24-Ganguli-D225
  • The following WebWork sets are due over the next few days–we have covered these exercises over the past couple class sessions:
    • Polynomials-Linear Expressions – due Thurs, Feb 15
    • Polynomials-Evaluate Add Subtract Polynomials – due Thurs, Feb 15
    • Polynomials-Multiply Polynomials – due Fri Feb 16
    • Polynomials-Powers of Monomials and Binomials – due Mon Feb 19
  • Note: the college is closed next Monday, Feb 19 for President’s Day, so our next class meeting will be next Wednesday (Feb 21)

Topics

We reviewed polynomials and continued with algebraic operations involving polynomials:

We mentioned again how the graph of a quadratic polynomial is a parabola–in particular, we sketched the graph of y = x^2:

We went through a few examples of simplifying polynomial expressions via multiplying (including an example from the PatrickJMT video):

An example from the “Polynomials-Powers of Monomials/Binomials” set:

We closed with some examples of factoring polynomials by finding the GCF (greatest common factor), from the “Polynomials-GCF and Factor by Grouping” sets:

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