{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Sec-31 - Math 1300 Section 3.1 Notes Polynomials A...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 1300 Section 3.1 Notes 1 Polynomials A polynomial is an expression made up of terms called monomials. A monomial is an expression made up of one real-number coefficient and (at least) one variable to some whole-number power. Examples are -3; 7 x ; 9 x 2 y 3 z 5 . A polynomial made up of two monomials added to or subtracted from each other is called a binomial . Examples: f ( x ) = 3 xy + 6 z 2 ; g ( x ) = 2 x – 8 x 3 . A polynomial made up of three monomials added to or subtracted from each other is called a trinomial . Examples: h ( t ) = 1/2 gt 2 vt + a ; y ( x ) = 3 x 2 + 9 x 6 – 6. (Generally we do not name polynomials with four or more terms.) Like terms are two monomials that are the same, or differ only by their numerical coefficients. Examples: 8 x 2 and -5 x 2 3 x 2 y and -9 xy 2 2 x 3 and 2 x 4 Alike? _________ ___________ _________ Usually, polynomials that use only one variable are written with the highest exponent first and then in descending order of exponents: f ( x ) = a n x n + a n -1 x n -1 + ... + a 1 x + a 0 The degree of a monomial is the sum of the powers of the variables.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern