1 / 4

Lesson 11-2 Remainder & Factor Theorems

Lesson 11-2 Remainder & Factor Theorems. Objectives Students will: Use synthetic division and the remainder theorem to find P(r) Determine whether a given number is a root of P(x) Determine whether x – r is a factor of P(x) and solve P(x) = 0. P(x) = 5x 4 + 4x 3 + 3x 2 + 2x + 1

macey-vaughan
Download Presentation

Lesson 11-2 Remainder & Factor Theorems

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. Lesson 11-2Remainder & Factor Theorems Objectives Students will: Use synthetic division and the remainder theorem to find P(r) Determine whether a given number is a root of P(x) Determine whether x – r is a factor of P(x) and solve P(x) = 0

  2. P(x) = 5x4 + 4x3 + 3x2 + 2x + 1 What is the remainder when P(x) divided by x – 3? Find P(3) Let P(x) = x3 + x – 10 What is the remainder when P(x) is divided by x + 2? Find P(-2)

  3. Remainder Theorem The function value P(r) = remainder, when P(x) is divided by x - r Factor Theorem If P(r) = 0, then x – r is a factor of P(x), also If x – r is a factor, then P(r) = 0 Using the Theorems If the roots are integers, then they will be factors of a0 “Factors of the constant (last) term” If we know x – r is a factor, then dividing P(x) by x – r gives other factors

  4. Example 1 P(x) = x3 – 10x – 75 Is 5 a root? Find P(-2) Example 2 Factor P(x) = x3 + 3x2 – 9x + 5 HW 106

More Related