Types Of Factoring

Types Of Factoring

what is factoring? and the types of factoring?

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1. what is factoring? and the types of factoring?


Types:
Common Factoring
Difference of Two Squares
Simple Trinomial
Factoring by Grouping
Perfect Squares
Sum or Difference of Two Cubes

Factoring ~ is taking a number apart.


2. What are the different types of factoring? Give 3 examples for each type of factoring.


Answer:

Types of Factoring polynomials

Greatest Common Factor (GCF)Grouping Method.Sum or difference in two cubes.Difference in two squares method.General trinomialsTrinomial method.

3. 12x⁴-18x Type of factoring to be used: Factors:


In mathematics, factoring define as a process of finding the factors, finding numbers that can multiply together to get an expression.

The equation 12x⁴ - 18x

Type of factoring to be used: Factoring Out the GCF

How to factor out Using GCFYou can use the tree diagram to identify the least factorList down all the prime number factor of the constant coefficientList down also the factor of each variableThe number of power of variable also indicates the number of factor like x^2, there are x • x or x^3, there are 3 x which is x • x • x.

Solution

12x⁴-18x

Divide both terms by the smallest prime number (as factor), you can use tree diagram to identify the least prime factor

12x⁴ - 18x

Divide by 3

4x⁴ - 6x

Divide by 2

2x⁴ - 3x

Divide by x

2x³ - 3

To find the GCF, multiply all the divisor you used.

3 × 2 × x = 6x

Therefore, the GCF is 6x.

6x is already the one factor, and to find out the another one, just divide.

12x⁴-18x ÷ 6x = 2x³ - 3.

Therefore, the factor of 12x⁴-18x are 6x and 2x³-3.

Factor: 6x and 2x³-3

Learn more about factoring here at https://brainly.ph/question/3522552

#CarryOnLearning

#BRAINLYFAST


4. 93 − 257 Type of factor to be used: factor:


My Answer Is 164 po thanks


5. POLYNOMIALS 1.x²+2x-48 Types of Factoring Complete Factors​


The answer is:
(x - 6) or (x + 8)

6. what type of factoring method is needed to factor 2x²-5x​


Answer:

2 answers : 1. x(2x-5) 2. (2x-5)(x-0) using factoring of polynomials

Step-by-step explanation:

1. Take out x it will be equal to x(2x-5) 2. 2x(x) -5(x) +0(2x) -5(0). = 2x^2-5x-0 That's it.


7. types of factoring with meaning​


Answer:

Types of Factoring. In general, there are a various types of factoring services available, and not all factoring companies provide each of these services.

Recourse Factoring. This is the most common type of factoring. ...

Non-Notification Factoring. ...

Invoice Discounting. ...

Maturity Factoring

Answer:

Types of Factoring. In general, there are a various types of factoring services available, and not all factoring companies provide each of these services.

Recourse Factoring. This is the most common type of factoring. ...

Non-Notification Factoring. ...

Invoice Discounting. ...

Maturity Factoring.

Explanation:


8. 3. Sun is what type of factor?A. Biotic factorB. Abiotic factorC. Nutrients factorD. Both a & b4. A pine tree is what type of factor?a. Biotic factorb. Abiotic factorc. Nothingd. Forest factor​


Answer:

3.B

4.A

Explanation:

correct me if im wrong

Answer:

3. B.

4. A.

Explanation:

if you think my answer is helpful pls press the heart button, and pls mark me as brain-liest answer


9. Demand factor and load factor according to type of different facilities


Answer:

the following user says thank you for your time and consideration and I will be a good time to get the same time

Explanation:

the notingthat


10. what type of factoring is used to factor (144-x⁴)​


Answer:

Difference of two square


11. climate first type,second type,third type,fourth type factor Affecting Their climate​


Answer:

The 4 climates

The 4 climatesThe Climate of the Philippines is either tropical rainforest, tropical savanna or tropical monsoon, or humid subtropical (in higher-altitude areas) characterized by relatively high temperature, oppressive humidity and plenty of rainfall.

Explanation:

Hope it will help you

#Sharing Is Caring


12. solve for the factor of the polynomial using only of the different types to factor ×⁴-9​


Answer:

sorry po

Step-by-step explanation:

thank u po sa points

need lang po talaga


13. What type of factoring is used to factor (x^3 –27)​


Answer:

Type of factoring is used to multiplication


14. what type of factoring is used to factor (x³-27)​


cube? get a chance to look at the house and I will be there at the same time I don't have a daughter who is the type of person that I can take a look at it and see if it is still available and if so what time would be good for you to


15. what are the types of factoring


Factorization into Monomials, By grouping terms, perfect trinomial squares, trinomials in form ax^2+bx+c, difference of two squares, etc.

16. What types of factoring is applicable in factoring the polynomials x² - 25?​


Answer:

69 69 69 haha you know what I mean haha


17. Type of factoring to be USed


The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cube.

18. 1. What are the abiotic factors that are present in this type of an ecosystem?2.What are the biotic factors that possibly exist in this type of an ecosystem?List down these factors on the table below:​


Answer:

1. Wind, Water, Sunlight, Soil, atmosphere, temperature

2. animals, plants, fungi, bacteria, and protists. 


19. What types of factoring is applicable in factoring the polynomials x² - 25?​


Answer:

factor (×-5)×(×+5)

Step-by-step explanation:

Yan po Yung sagot


20. 8 types of factoring​


I don't have 8 types of them in my notes, but I hope this helps the half of your problem.

FACTORING BY COMMON MATERIAL

Ex. 2x+10=2

FACTORING COMMON MONOMIAL

Ex. [tex]18x^{5}y^{5}-32x^{3}y = 2x^{3}y(9x^{2}y^{2} -16)[/tex]

FACTORING BY GROUPING

Ex. (a+b)(a-4)=(a+b)(a-3)

      =(a+b) [a-4+a-3]

      =(a+b)(2a-7)

FACTORING GENERAL TRINOMIAL

[tex]x^{2}+bx+c=(x+a)(x=b)[/tex]


21. Types of Factorization to be used


pls help g10huhu ang hirap


22. types of factoring polynomials ​


Answer:

The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.

Pa Brainliest nalang po Thank you

Answer:

The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.

23. types of factoring polynomails​


Answer:

The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.


24. what are the types of factorization?​


Answer:

huhu pqno mag question sa sarili ko huhuhu

Answer:

Types Of Factorization Example Problems With Solutions

Type I: Factorization by taking out the common factors.

Example 1: Factorize the following expression

2x2y + 6xy2 + 10x2y2

Solution: 2x2y + 6xy2 + 10x2y2

=2xy(x + 3y + 5xy)

Type II: Factorization by grouping the terms.

Example 2: Factorize the following expression

a2 – b + ab – a

Solution: a2 – b + ab – a

= a2 + ab – b – a = (a2 + ab) – (b + a)

= a (a + b) – (a + b) = (a + b) (a – 1)

Type III: Factorization by making a perfect square.

Example 3: Factorize of the following expression

9x2 + 12xy + 4y2

Solution: 9x2 + 12xy + 4y2

= (3x)2 + 2 × (3x) × (2y) + (2y)2

= (3x + 2y)2

Example 4: Factorize of the following expression

x2y2+2+y2x2′,x≠0,y≠0

Example 5: Factorize of the following expression

(5x−1x)2+4(5x−1x)+4,x≠0

Solution:

Factorization-by-perfect-square-Example-2Type IV: Factorizing by difference of two squares.

Example 6: Factorize the following expressions

(a) 2x2y + 6 xy2 + 10 x2y2

(b) 2x4 + 2x3y + 3xy2 + 3y3

Solution:

Factorizing-by-difference-of-two-squares-example-1

Example 7: Factorize 4x2 + 12 xy + 9 y2

Example 8: Factorize each of the following expressions

(i) 9x2 – 4y2

(ii) x3 – x

Solution:

Factorizing-by-difference-of-two-squares-example-8

Example 9: Factorize each of the following expressions

(i) 36x2 – 12x + 1 – 25y2

(ii) a2−9a2,a≠0

Example 10: Factorize the following algebraic expression

x4 – 81y4

Solution:

Factorizing-by-difference-of-two-squares-example-10

Example 11: Factorize the following expression

x(x+z) – y (y+z)

Solution: x(x+z) – y (y+z) = (x2 – y2) + (xz–yz)

= (x–y) (x+y) + z (x–y)

= (x–y) {(x+y) + z}

= (x–y) (x+ y + z)

Example 12: Factorize the following expression

x4 + x2 + 1

Solution: x4 + x2 + 1 = (x4 + 2x2 +1) – x2

= (x2 +1)2 – x2 = (x2 + 1 – x) (x2 + 1+x)

= (x2–x + 1) (x2 + x + 1)

Type V: Factorizing the sum and difference of cubes of two quantities.

(i) (a3 + b3) = (a + b) (a2 – ab + b2)

(ii) (a3 – b3) = (a – b) (a2 + ab + b2)

Example 13: Factorize the following expression

a3 + 27

Solution: a3 + 27 = a3 + 33 = (a + 3) (a2 –3a +9)

Example 14: Simplify : (x+ y)3 – (x –y)3 – 6y(x2 – y2)

Solution:

factorizing-the-sum-and-difference-of-cubes


25. how to factor y⁶- 8 and what types of factoring​


y⁶-8

(y²)³-2³

(Y²-2)(Y²)²+y²x2+2²)

(y²-2)(y⁴+y²x2+2²)

(y²-2(y⁴+2y²+2²)

(y²-2)(y⁴+2y²+4)

answer

(y²-2)y⁴+2y²+4)


26. what are the types of factors​


Answer:

Types of Factors

Block factor -Unavoidable factor whose effect is not of direct interest

Derived factor-Factor whose levels are derived from pseudo-factors

Design factor -Factor whose effect is of direct interest

Pseudo-factor-Formal factor combined to derive the levels of a real factor


27. What type of factoring is used to factor (x³-27)​


Answer:

Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=x and b=3 .

Step-by-step explanation:


28. What type of factoring is used to factor (x³-27)​


The difference of two cubes

Where:

[tex](x^{3} - 27) = (x - 3)(x^{2} + 3x + 9)[/tex]


29. what are the six types of factoring?​


Answer:

#1: Greatest Common Factor.

#2: Grouping.

#3: Difference in Two Squares.

#4: Sum or Difference in Two Cubes.

#5: Trinomials.

#6: General Trinomials.


30. It is a special type of factoring


Answer:

The special cases are: trinomials that are perfect squares, a2 + 2ab + b2 and a2 – 2ab + b2, which factor as (a+ b)2 and (a – b)2, respectively; binomials that are the difference of two squares, a2 – b2, which factors as (a + b)(a – b).


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