Activity 2 a 10Ot OI Imuluplic a) Show that 4/3 is a root of P(x) = 27x³ – 108x² + 144x – 64. %3D b) Find all the roots of P(x). What is the multiplicity of the root 4/3? Learning Point 2 Find the rational roots of a polynomial. Concepts 4 -5 ynomial nd regardless of üts natn relless of
Activity 2 a 10Ot OI Imuluplic a) Show that 4/3 is a root of P(x) = 27x³ – 108x² + 144x – 64. %3D b) Find all the roots of P(x). What is the multiplicity of the root 4/3? Learning Point 2 Find the rational roots of a polynomial. Concepts 4 -5 ynomial nd regardless of üts natn relless of
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![リー
5)2X2 – x- 15) = (x – 3)(x- 3)(2x+ 5).
The other roots are 3 and -2.5.
In the previous example, 3 is a repeated root. More specifically, 3 is a root of
multiplicity 2. If a root is repeated m times, we call it a root of multiplicity m.
Activity 2
a) Show that 4/3 is a root of P(x) = 27x³ – 108x² + 144x – 64.
%3D
b) Find all the roots of P(x). What is the multiplicity of the root 4/3?
Learning Point 2
Find the rational roots of a polynomial.
Concepts 4 -5
Co
a) E
b) Fa
Finding the rational roots of a polynomial
A polynomial of degree 1 has one root which can be found regardless oaf
A polynomial of degree 2 has two roots which can also be found regardie
There are ways to find the roots of of degree 3 or 4 but we wil nor
here. Instead, we will only focus on
nature.
polynomials whose roots, exc
pomial has a pabkonl](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d2b21bb-43cf-4bdc-a6e9-2f84ffecd20a%2F4fe482d9-3331-4a24-8899-b0e6a3615f80%2Fybqi3pd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:リー
5)2X2 – x- 15) = (x – 3)(x- 3)(2x+ 5).
The other roots are 3 and -2.5.
In the previous example, 3 is a repeated root. More specifically, 3 is a root of
multiplicity 2. If a root is repeated m times, we call it a root of multiplicity m.
Activity 2
a) Show that 4/3 is a root of P(x) = 27x³ – 108x² + 144x – 64.
%3D
b) Find all the roots of P(x). What is the multiplicity of the root 4/3?
Learning Point 2
Find the rational roots of a polynomial.
Concepts 4 -5
Co
a) E
b) Fa
Finding the rational roots of a polynomial
A polynomial of degree 1 has one root which can be found regardless oaf
A polynomial of degree 2 has two roots which can also be found regardie
There are ways to find the roots of of degree 3 or 4 but we wil nor
here. Instead, we will only focus on
nature.
polynomials whose roots, exc
pomial has a pabkonl
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