Instructor: Suman Ganguli

# Month: February 2024(Page 2 of 4)

## 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.

• 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:

There are numerous YouTube channels devoted to math. One that I like is by a math instructor called PatrickJMT. You can view his playlist on polynomials here.

For example, here is one of his videos introducing simplifying polynomials:

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