PreCalc 1 (2.4) Dividing Polynomials

Описание: The concept of long division is reviewed, starting with a simple example of dividing 459 by 7, which results in a quotient of 65 and a remainder of 4, expressed as 65 and four sevenths
00:10.


The process of long division is applied to polynomials, with the first example being the division of x squared plus 10x plus 21 by x plus 3, which involves dividing, multiplying, and changing signs
07:42.


The division of x squared plus 10x plus 21 by x plus 3 results in a quotient of x plus 7 with no remainder, demonstrating the step-by-step process of polynomial long division
08:03.


When dividing polynomials, it's essential to write them in descending powers, with the highest degree first, to ensure the correct order of operations
16:06.


To divide polynomials, start by dividing the highest degree term of the dividend by the highest degree term of the divisor, then multiply and subtract
16:46.


After each subtraction, bring down the next term and repeat the process until all terms have been divided or a remainder is obtained
18:14.


The remainder should be expressed as a fraction, with the remainder as the numerator and the divisor as the denominator
21:08.


It's crucial to include all terms, even if their coefficients are zero, to avoid missing any terms during the division process
23:27.


The final answer should be written with the quotient and the remainder, if any, to provide a complete solution
29:16.