This really is a polynomial even it may not look like

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: polynomial. Note that we will often drop the “in one variable” part and just say polynomial. Here are examples of polynomials and their degrees. 5 x12 - 2 x 6 + x5 - 198 x + 1 degree : 12 x4 - x3 + x2 - x + 1 degree : 4 23 56 x 5x - 7 -8 degree : 23 degree : 1 degree : 0 So, a polynomial doesn’t have to contain all powers of x as we see in the first example. Also, polynomials can consist of a single term as we see in the third and fifth example. We should probably discuss the final example a little more. This really is a polynomial even it may not look like one. Remember that a polynomial is any algebraic expression that consists of terms in the form ax n . Another way to write the last example is -8 x 0 Written in this way makes it clear that the exponent on the x is a zero (this also explains the degree…) and so we can see that it really is a polynomial in one variable. Here are some examples of things that aren’t polynomials. 4 x 6 + 15 x -8 + 1 5 x - x + x2 23 + x -2 x The first one isn’t a polynom...
View Full Document

This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

Ask a homework question - tutors are online