"Factorization" Multiplication, division and factorization of integers PPT courseware 2

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"Factorization" Multiplication, division and factorization of integers PPT courseware 2

Question 1: Can you state the definition of polynomial factorization?

Factorization of polynomials is actually the inverse of integer multiplication, that is, converting a polynomial into the product of several integers.

Question 2: What are the steps to use the common factor method to decompose factors?

Factoring (1) 8m2n+2mn (2)12xyz-9x2y2

(3)2a(y-z)-3b(z-y) (4)a2-b2

Question 3: Can you factor a2-b2?

The reverse application of the multiplication formula of polynomials is the factorization formula of polynomials. If the decomposed polynomial meets the conditions of the formula, the result of factorization can be written directly. This method of factoring is called the formula method. Today we will learn to use the squared difference formula to decompose factors

Observe the squared difference formula:

What are the characteristics of the terms, exponents, and symbols of a2-b2=(a+b)(a-b)?

(1) The left side is a binomial, each term is in the form of a square, and the signs of the two terms are opposite.

(2) The right side is the product of two polynomials. One factor is the sum of the two numbers, and the other factor is the difference between the two numbers.

summary

1. If the terms of the polynomial contain a common factor, the first step is to find the common factor.

2. If there are no common factors for the terms of the polynomial, the first step is to consider using the formula to decompose the factors

3． After factoring in the first step, the contained polynomials can continue to be factored, so further factorization is required. Until every polynomial factor cannot be factored.

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For more information about the PPT courseware "Factorization of Integers: Multiplication, Division and Factorization", please click the "Factorization ppt Multiplication, Division and Factorization of Integers" ppt tag.

"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" PPT:

"Factorization" PPT Part 1 Content: Fill in Can you find the connection and difference 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 form of the sum of polynomials into...

"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..

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Update Time: 2024-09-25

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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