"Method of Raising Common Factors" PPT

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"Method of Raising Common Factors" PPT

Part One: Knowledge Review

Factoring:

1.a2-12ab+36b2

2.9x2y2+6xy+1

3.a2b2-4c2

4.x4-2x2y2+y4

Can the polynomial ab+ac+ad be converted into product form?

Because a(b+c+d)=ab+ac+ad

So ab+ac+ad=a(b+c+d)

a is a factor that all terms ab�ac�ad in the polynomial ab+ac+ad have, and is called the common factor of each term of the polynomial.

PPT on common factor method, part 2: discussion

Do the terms of the following polynomials have common factors?

If so, what is it?

(1)a2b+ab2

(2)3x2-6x3

(3)9abc-6a2b2

Find the common factors of the following formulas and fill them in on the horizontal lines.

(1)ab,2a2b,3ab2＿＿＿＿＿＿．

(2)6mn2,-18m2n2,24m3n＿＿＿＿．

(3)7x2y,14xy2z,-35xyz2＿＿＿＿＿．

The common factor coefficient should be the greatest common divisor of the coefficients, the letters should be the same letters for each term, and the exponent of each letter should be the smallest.

Common factor method PPT, the third part: practice

1. If n is a natural number, is n2+n an odd number or an even number?

Cut two circles with diameters a and b from a circular steel plate with diameter (a+b), and find the area of ​​the remaining steel plate.

Summary

1. If there is a common factor, you must first mention the common factor.

2. It must be decomposed until each polynomial factor cannot be decomposed.

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For more information about the "Method of Raising Common Factors" PPT courseware, please click the "Method of Raising Common Factors" ppt tab.

"Factorization using common factor method" PPT courseware 2:

"Using the Common Factor Method for Factorization" PPT Courseware 2 Cooperation and Exploration 1. Find the product of the following integer multiplications: ①, m(a+b+c)=ma+mb+mc ②, 5y2(y+4 )=5y3+20y2 2. I believe you can quickly tell the following result: ①, ma+mb+mc=m(a+b+c) ..

"Factorization using common factor method" PPT courseware:

"Using the Common Factor Method to Factorize" PPT courseware communication and discovery: Find the same factors contained in each term of the following polynomials: 1. am+bm+cm m 2. 12m2-4m3 4m2 3. 5x2y- 10xy 5xy Common Factors: All terms in a polynomial have the same factor..

"Method of Raising Common Factors" Decomposition of Factors PPT Courseware 4:

"Method of Raising Common Factors" Decomposition PPT Courseware 4 Review and Review 1. How many forms are there of multiplication of integers? (1) Multiplying a monomial by a monomial (2) Multiplying a monomial by a polynomial: a(m+n)=am+an (3) Multiply a polynomial by a polynomial: (a+b)(m+n)=am+an+bm+bn 2. Multiplication common...

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Update Time: 2024-09-07

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

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