"Multiplying polynomials by polynomials" Multiplication, division and factorization of integers PPT courseware

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People's Education Press Eighth Grade Mathematics Volume 1	pptx	6 MB

"Multiplying polynomials by polynomials" Multiplication, division and factorization of integers PPT courseware

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Upload Time: 2024-11-03

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"Multiplying polynomials by polynomials" Multiplication, division and factorization of integers PPT courseware

Observing the above formula, can you get the result of (x-3)(x-6)?

(x – 3)(y – 6)

= x ( y – 6 ) – 3 ( y – 6 )

= x y – 6x – 3y + 18

It can be concluded by induction: To multiply polynomials by polynomials, first multiply each term of one polynomial by each term of the other polynomial, and then add the resulting products.

(a+b)(m+n)

= a(m+n)+b(m+n)

= am+an+bm+bn

practise:

(1) (2x+1)(x+3); (2) (m+2n)(m+ 3n):

(3) ( a - 1)2 ; (4) (a+3b)(a –3b ).

(5) (x+2)(x+3); (6) (x-4)(x+1)

(7) (y+4)(y-2); (8) (y-5)(y-3)

Summary

1. To multiply polynomials by polynomials, first multiply each term of one polynomial by each term of another polynomial, and then add the resulting products.

2. When multiplying polynomials by polynomials, each term of the polynomial should have a positive or negative sign in front of it. Polynomial is the sum of monomials, and each term includes the previous symbol. When calculating, be sure to pay attention to determine the symbol of each term.

3. (x+p)(x+q) = x2 + (p+q) x + p q

4. In the learning of mathematical knowledge, "transformation" thinking is an important thinking method. In today's study, the first step is to "transform" into the multiplication of polynomials and monomials, and the second step is to "transform" into multiplication of monomials. That is to say, new knowledge and methods are transformed into known mathematical knowledge and methods. This enables learning to take place.

Keywords: Courseware for multiplication, division and factorization of integers, courseware for multiplying polynomials by polynomials, PPT courseware for the first volume of eighth-grade mathematics published by the New People’s Education Press, download of eighth-grade mathematics slide courseware, download of PPT courseware for multiplication, division and factorization of integers, multiplication of polynomials Download polynomial PPT courseware in .ppt format

For more information about the PPT courseware "Multiplying, dividing and factoring polynomials by polynomials of integers", please click the multiplication, division and factorization of integers ppt polynomials multiplied by polynomials ppt tag.

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Update Time: 2024-11-03

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"Multiplying polynomials by polynomials" Multiplication, division and factorization of integers PPT courseware