This is a free lesson from our course in Algebra II
This lesson introduces basic concepts about polynomial operations like addition
and subtraction. Just take a look at the presentation including some examples explained
by the instructor with the help of video, and in own handwriting and you'll realize
how incredibly simple Polynomial operations are. Addition and substraction are two of the most common operation
with polynomials. The result of any sum, or difference of two (or more) polynomials
is also a polynomial.
(More text below video...)
(Continued from above)
Addition and subtraction of polynomials is simply
the adding and subtracting of the like terms.
• to add two polynomials, combine their like terms.
• to subtract one polynomial
from another, change the subtraction sign to an addition sign and change the signs
of all the terms in the polynomial being subtracted (don't forget to change the
sign of the first term). Then add the resultant polynomial by combining like terms.
For example, Addition of two polynomials:
(x^{2} + 2x  17) + (2x^{2} + x
+ 3) Adding like terms,
=> (x^{2} + 2x^{2}) + (2x + x) + (17 + 3)
gives, (3x^{2} + 3x  14). Subtraction of two polynomials: (3x^{2}
+ 2x  17)  (2x^{2} + x + 3) Subtracting like terms, => (3x^{2}  2x^{2}) + (2x  x) + (17  3)gives, (x^{2}
+ x  20).
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