Khan Academy: Adding Polynomials

While explaining how to add polynomial expressions with multiple variables, Sal uses academic vocabulary and a clear thinking process. This video is relatively short and would be appropriate for students working on homework or prepping...

Sal simplifies a polynomial addition expression. [2:00]

Sal simplifies (4x^2y - 3x^2 - 2y) + (8xy - 3x^2 + 2x^2y + 4).

Video demonstrates how to write a polynomial that represents the difference between the area of a rectangle of given length and width and the area of a circle with a given diameter. [4:37]

Demonstrates how to write a polynomial expression for a given situation. [1:24]

Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function. Generalizes the expansion of sine using sigma notation and relates it to the expansion for cosine. [9:24]

Video lesson finishing the derivation of the formula for the Maclaurin series and then applying it to find the polynomial approximation for e^x. [10:09]

Video continues a discussion about the relationship between the polynomial approximations for the sine, cosine and e^x functions from Maclaurin series and uses those to derive Euler's formula and Euler's identity. [10:18]

Video lesson using a Maclaurin series to approximate a cosine function by using a polynomial function. Generalizes the expansion of cosine using sigma notation. [9:59]

Video lesson relating the polynomial approximations for the sine, cosine and e^x functions from Maclaurin series. [9:59]