"Factorization" PPT

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"Factorization" PPT

Part One: Fill it out

Can you find the connections and differences between these two sets of equations? What are the characteristics of their left and right sides?

Features: Convert the form of the product of integers into the form of the sum of polynomials.

Features: Convert the sum of polynomials into the product of several integers.

definition

Generally speaking, converting a polynomial into the product of several integers is called factorization. Sometimes we also call this process factorization.

Factoring PPT, Part 2: Understanding Concepts

Determine which of the following expressions are integer multiplications? Which ones are factoring?

(1).x2-4y2=(x+2y)(x-2y)

(2).2x(x-3y)=2x2-6xy

(3).(5a-1)2=25a2-10a+1

(4).x2+4x+4=(x+2)2

(5).2πR+ 2πr= 2π(R+r)

Factoring PPT, Part 3: Think about it

Through what you just learned, can you tell what the relationship is between factorization and integer multiplication?

Characteristics of multiplication of integers: converting the form of the product of integers into the form of the sum of polynomials.

Characteristics of factorization: Convert the sum of polynomials into the product of several integers.

Conclusion: Factorization of polynomials and multiplication of integers are two identical deformations in opposite directions, and they are reciprocal processes.

Factoring PPT, Part 4: Practice:

1. Check whether the following factorization is correct.

(1)m2+mn=m(m+n)

(2) a2-b2=(a+b)(a-b)

(3)x2-x-2=(x+2)(x-1)

2. Calculate each of the following problems and explain your algorithm.

(1)87 2 + 87 ×13

(2) 1012-99 2

Factoring PPT, Part 5: Summary

Factoring and multiplication of integers are reciprocal processes.

Pay attention to the following points when factoring:

1. The object of decomposition must be a polynomial.

2. The result of decomposition must be in the form of the product of several integers.

3. Decompose until it can no longer be decomposed.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, factoring PPT download, .PPT format;

For more information about the "Factorization" PPT courseware, please click the "Factorization ppt" tab.

"Factorization" PPT courseware:

Contents of the first part of the PPT courseware "Factorization": Review of old knowledge 1. How many forms are there in multiplication of integers? (1) Multiplying a monomial by a monomial (2) Multiplying a monomial by a polynomial: m(a+b+c)=ma+mb+mc ( 3) Multiply a polynomial by a polynomial: (a+b)(m+n)=am+an+bm+bn 2. Multiplication common...

"Factorization Method for Solving Quadratic Equations of One Variable" PPT courseware:

"Factorization Method for Solving Quadratic Equations" PPT courseware uses the factorization method to solve quadratic equations. General steps: (1) Change the right side of the equation to zero; (2) Decompose the left side of the equation into two linear equations. ________ of factors; (3) Let each factor be zero, we get..

"Solving quadratic equations of one variable using factorization method" PPT courseware 3:

"Solving Quadratic Equations Using Factorization Method" PPT Courseware 3 Review and Review We obtain the roots of quadratic equations by forming perfect squares. This method of solving quadratic equations is called the solving method (solving method). by completing the square) ..

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Update Time: 2024-11-21

This template belongs to Mathematics courseware Hebei Education Edition Seventh Grade Mathematics Volume 2 industry PPT template

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