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Factoring - HO and Suit

The document discusses factoring higher degree polynomials. It explains that different techniques are used depending on the properties of the numbers in the polynomial, such as whether they are prime, even, or divisible by other numbers. Several examples are provided to demonstrate how to factor polynomials using techniques like splitting the middle term, polynomial splitting theorem, and difference of two squares based on the characteristics of the terms. Exercises are included for the reader to practice factoring various polynomials.

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Leby Fastidio
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Download as PPTX, PDF, TXT or read online on Scribd
87 views14 pages

Factoring - HO and Suit

The document discusses factoring higher degree polynomials. It explains that different techniques are used depending on the properties of the numbers in the polynomial, such as whether they are prime, even, or divisible by other numbers. Several examples are provided to demonstrate how to factor polynomials using techniques like splitting the middle term, polynomial splitting theorem, and difference of two squares based on the characteristics of the terms. Exercises are included for the reader to practice factoring various polynomials.

Uploaded by

Leby Fastidio
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PPTX, PDF, TXT or read online on Scribd
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FACTORING

HIGHER DEGREE POLYNOMIALS


HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:

where n is an odd prime number

Examples:

Problem and Solution


1.
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:

where n is an odd prime number

Examples:

Problem and Solution


1.

2. =
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are even numbers, use DTS.

Examples:

Problem and Solution


1.
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are even numbers, use DTS.

Examples:

Problem and Solution


1.

2. =
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are even numbers, use DTS.

Examples:

Problem and Solution


1.

2. =
3. =
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are divisible by 3, use S/DTC.

Examples:

Problem and Solution


1.
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are divisible by 3, use S/DTC.

Examples:

Problem and Solution


1.

2. =
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are powers of 4, add and subtract suitable terms, then
use PST and DTS.

Examples:

Problem and Solution


1.

2. =
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are powers of 4, add and subtract suitable terms, then
use PST and DTS.

Examples:

Problem and Solution


1.
HIGHER DEGREE
POLYNOMIAL
 Illustration:

Solutions:
where n and m are powers of 4, add and subtract suitable terms, then
use PST and DTS.

Examples:

Problem and Solution


1.

2. =
HIGHER DEGREE
POLYNOMIAL
Exercises: Factor each of the following completely.

Problem Solutions:
1.

2.

3. 3
4.

5.

6.

7.

8.
HIGHER DEGREE
POLYNOMIAL
Exercises: Factor each of the following completely.

Problem Solutions:
1.

2.

3. 3
4.

5.

6.

7.

8.
HIGHER DEGREE
POLYNOMIAL
Exercises: Factor each of the following completely.

Problem Solutions:
1.

2.

3. 3
4.

5.

6.

7.

8.

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