1 / 6

P.3 Polynomials and Special Products

P.3 Polynomials and Special Products. Unit P:Prerequisites for Algebra 5-Trig. Definition of a Polynomial in x. Let a 0 , a 1 , a 2 , …, a n be real numbers and let n be a nonnegative integer. A polynomial in x is an expression of the form a n x n + a n-1 x n-1 + … + a 1 x + a 0

gabriel-russell
Download Presentation

P.3 Polynomials and Special Products

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. P.3 Polynomials and Special Products Unit P:Prerequisites for Algebra 5-Trig

  2. Definition of a Polynomial in x • Let a0, a1, a2, …, an be real numbers and let n be a nonnegative integer. A polynomial in x is an expression of the form anxn + an-1xn-1 + … + a1x + a0 where an ≠ 0. The polynomial is of degree n, an is the leading coefficient, and a0 is the constant term.

  3. Standard Form • In standard form, a polynomial is written in descending powers of x.

  4. Operations with Polynominials • You can add and subtract polynomials by combining like terms. • To find the product you must distribute.

  5. Special Products • Sum and Difference of Same Terms • (a + b)(a – b) = a2 – b2 • Square of a Binomial • (a + b)2 = a2 + 2ab + b2 • (a – b)2 = a2 – 2ab + b2 • Cube of a Binomial • (a + b)3 = a3 + 3a2b + 3ab2 + b3 • (a – b)3 = a3 – 3a2b + 3ab2 – b3

  6. Application

More Related